Quadratic roots, full range

Time bar (total: 7.7s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze211.0ms (2.7%)

Memory
13.1MiB live, 164.2MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
25%25%74.9%0.1%0%0%0%4
37.5%37.4%62.4%0.1%0%0%0%5
37.5%37.4%62.4%0.1%0%0%0%6
40%37.4%56.2%0.1%0%6.2%0%7
48.3%45.2%48.4%0.1%0%6.2%0%8
53%48.4%42.9%0.1%0%8.6%0%9
58.1%50.3%36.3%0.1%0%13.3%0%10
66.1%56.8%29.1%0.1%0%14%0%11
70.4%58.8%24.7%0.1%0%16.4%0%12
Compiler

Compiled 19 to 16 computations (15.8% saved)

sample1.8s (23.7%)

Memory
56.8MiB live, 2 541.9MiB allocated
Samples
538.0ms5 593×0valid
317.0ms1 183×2valid
285.0ms1 327×1valid
166.0ms946×0invalid
39.0ms153×3valid
Precisions
Click to see histograms. Total time spent on operations: 1.0s
ival-mult: 355.0ms (34.5% of total)
ival-sub: 154.0ms (15% of total)
ival-sqrt: 144.0ms (14% of total)
ival-div: 103.0ms (10% of total)
ival-add: 103.0ms (10% of total)
adjust: 95.0ms (9.2% of total)
ival-neg: 56.0ms (5.4% of total)
exact: 10.0ms (1% of total)
ival-true: 7.0ms (0.7% of total)
ival-assert: 3.0ms (0.3% of total)
Bogosity

explain237.0ms (3.1%)

Memory
-35.2MiB live, 320.2MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1110-1(-4.6847349877647954e-51 2.365517085916363e-292 5.728628827720239e-264)(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))
600-0-(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))
110-1(-7.4936602890844e-310 3.174632156514321e-254 2.7133367206879954e-257)(/.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))
30-0-(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))
00-0-a
00-0-#s(literal 4 binary64)
00-0-(*.f64 (*.f64 #s(literal 4 binary64) a) c)
00-0-(*.f64 b b)
00-0-(*.f64 #s(literal 2 binary64) a)
00-0-c
00-0-#s(literal 2 binary64)
00-0-(neg.f64 b)
00-0-(*.f64 #s(literal 4 binary64) a)
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-rescue1060
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))overflow106
(*.f64 (*.f64 #s(literal 4 binary64) a) c)overflow26
(*.f64 b b)overflow89
+.f64(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))cancellation600
/.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/n100
(-.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))))underflow17
(*.f64 (*.f64 #s(literal 4 binary64) a) c)underflow29
(*.f64 b b)underflow42
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)underflow29
(*.f64 b b)underflow42
-.f64(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))nan-rescue30
(*.f64 b b)overflow89
(*.f64 (*.f64 #s(literal 4 binary64) a) c)overflow26
Confusion
Predicted +Predicted -
+1201
-19116
Precision
0.8633093525179856
Recall
0.9917355371900827
Confusion?
Predicted +Predicted MaybePredicted -
+12001
-190116
Precision?
0.8633093525179856
Recall?
0.9917355371900827
Freqs
test
numberfreq
0117
196
242
31
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
80.0ms358×0valid
35.0ms78×1valid
16.0ms68×2valid
2.0ms3valid
Compiler

Compiled 161 to 46 computations (71.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 105.0ms
ival-neg: 49.0ms (46.5% of total)
ival-add: 17.0ms (16.1% of total)
ival-mult: 13.0ms (12.3% of total)
adjust: 10.0ms (9.5% of total)
ival-sqrt: 6.0ms (5.7% of total)
ival-div: 5.0ms (4.7% of total)
ival-sub: 4.0ms (3.8% of total)
ival-true: 1.0ms (0.9% of total)
exact: 1.0ms (0.9% of total)
ival-assert: 0.0ms (0% of total)

preprocess40.0ms (0.5%)

Memory
3.9MiB live, 48.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
054158
1172151
2492151
3938151
41378151
51569151
61693151
01417
02317
14317
29817
319017
428917
535717
638117
741917
845717
045716
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))
Outputs
(/.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 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a))
Compiler

Compiled 17 to 14 computations (17.6% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
54.5%
(/.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))
Compiler

Compiled 17 to 14 computations (17.6% saved)

simplify11.0ms (0.1%)

Memory
14.0MiB live, 14.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(neg.f64 b)
cost-diff0
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))
cost-diff0
(/.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-diff1
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01470
02370
14370
29870
319070
428970
535770
638170
741970
845770
045766
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))
(neg.f64 b)
b
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))
(*.f64 b b)
(*.f64 (*.f64 #s(literal 4 binary64) a) c)
(*.f64 #s(literal 4 binary64) a)
#s(literal 4 binary64)
a
c
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)
Outputs
(/.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 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a))
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))
(+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) (neg.f64 b))
(neg.f64 b)
b
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))
(sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))
(fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))
(*.f64 b b)
(*.f64 (*.f64 #s(literal 4 binary64) a) c)
(*.f64 c (*.f64 a #s(literal 4 binary64)))
(*.f64 #s(literal 4 binary64) a)
(*.f64 a #s(literal 4 binary64))
#s(literal 4 binary64)
a
c
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)

localize51.0ms (0.7%)

Memory
-21.4MiB live, 77.6MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.6054687500000001
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))
accuracy2.5563286436102928
(/.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))
accuracy13.889484465437658
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))
accuracy25.763415571126153
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))
Samples
22.0ms179×0valid
10.0ms39×1valid
8.0ms34×2valid
1.0ms3valid
Compiler

Compiled 72 to 16 computations (77.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 26.0ms
ival-mult: 9.0ms (34.1% of total)
ival-neg: 6.0ms (22.8% of total)
ival-div: 3.0ms (11.4% of total)
ival-sqrt: 3.0ms (11.4% of total)
ival-sub: 2.0ms (7.6% of total)
adjust: 2.0ms (7.6% of total)
ival-add: 2.0ms (7.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series26.0ms (0.3%)

Memory
-10.1MiB live, 34.7MiB allocated
Counts
5 → 98
Calls
Call 1
Inputs
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))
(/.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 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))
(neg.f64 b)
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))
Outputs
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(* -1 (/ c b))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))
(* -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))))))))
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))))))))
(* -4 (* a c))
(* a (- (/ (pow b 2) a) (* 4 c)))
(* 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)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
(* (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)))
(* 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))))))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))
(* -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 (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 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))))))
(* -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))))))))
(- (pow b 2) (* 4 (* a c)))
(+ (* 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 (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))
(+ (* -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)))
(* -1 b)
(+ (* 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)))))))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) 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)
(* 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 a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))
(* -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))))))))
(* -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))))))))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 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))))))))
(+ 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))))))))
(* c (- (/ (pow b 2) c) (* 4 a)))
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* 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)))
(* 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))))))
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* 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))))))
(* -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))))))))
Calls

9 calls:

TimeVariablePointExpression
7.0ms
c
@-inf
((- (* b b) (* (* 4 a) c)) (/ (+ (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))))
3.0ms
b
@inf
((- (* b b) (* (* 4 a) c)) (/ (+ (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))))
3.0ms
a
@inf
((- (* b b) (* (* 4 a) c)) (/ (+ (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))))
3.0ms
a
@-inf
((- (* b b) (* (* 4 a) c)) (/ (+ (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))))
2.0ms
b
@0
((- (* b b) (* (* 4 a) c)) (/ (+ (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))))

simplify245.0ms (3.2%)

Memory
41.7MiB live, 272.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05452842
119162807
279102807
080902667
Stop Event
iter limit
node limit
Counts
98 → 97
Calls
Call 1
Inputs
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(* -1 (/ c b))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))
(* -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))))))))
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))))))))
(* -4 (* a c))
(* a (- (/ (pow b 2) a) (* 4 c)))
(* 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)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
(* (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)))
(* 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))))))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))
(* -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 (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 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))))))
(* -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))))))))
(- (pow b 2) (* 4 (* a c)))
(+ (* 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 (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))
(+ (* -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)))
(* -1 b)
(+ (* 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)))))))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) 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)
(* 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 a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))
(* -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))))))))
(* -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))))))))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 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))))))))
(+ 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))))))))
(* c (- (/ (pow b 2) c) (* 4 a)))
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* 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)))
(* 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))))))
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* 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))))))
(* -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
(pow b 2)
(*.f64 b b)
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))
(* -1 (/ c b))
(/.f64 (neg.f64 c) b)
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(/.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c)) b)
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))
(fma.f64 (fma.f64 (*.f64 a #s(literal -2 binary64)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 (neg.f64 c) c) (pow.f64 b #s(literal 3 binary64)))) a (/.f64 (neg.f64 c) b))
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 20 binary64) b)) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 (neg.f64 c) c) (pow.f64 b #s(literal 3 binary64)))) a (/.f64 (neg.f64 c) b))
(* -2 (/ (* a c) b))
(*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))
(*.f64 (*.f64 a #s(literal -2 binary64)) (fma.f64 (*.f64 c c) (/.f64 a (pow.f64 b #s(literal 3 binary64))) (/.f64 c b)))
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 c c) #s(literal -2 binary64)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -2 binary64) (/.f64 c b))) a)
(* 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 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 20 binary64) b)) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -4 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -2 binary64)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -2 binary64) (/.f64 c b))) a)
b
(+ b (* -2 (/ (* a c) b)))
(fma.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 c b) b)
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
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(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
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(* 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 (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal -4 binary64) (fma.f64 #s(literal -2 binary64) (fma.f64 (/.f64 a b) (/.f64 c b) (/.f64 (*.f64 (*.f64 (*.f64 c c) a) a) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64))) b)
(* -1 (/ b a))
(/.f64 (neg.f64 b) a)
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(neg.f64 (fma.f64 (/.f64 (neg.f64 c) (*.f64 b b)) b (/.f64 b a)))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))
(neg.f64 (fma.f64 (neg.f64 (+.f64 (/.f64 (/.f64 c b) b) (*.f64 (*.f64 c c) (/.f64 a (pow.f64 b #s(literal 4 binary64)))))) b (/.f64 b a)))
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))
(*.f64 (fma.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) a) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) (fma.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 c b) (fma.f64 (neg.f64 a) (*.f64 c (/.f64 c (pow.f64 b #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) a)))) (neg.f64 b))
(* -2 b)
(*.f64 #s(literal -2 binary64) b)
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2))))))
(*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -2 binary64) #s(literal 2 binary64)) (neg.f64 b))
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(*.f64 (fma.f64 #s(literal -2 binary64) (fma.f64 (/.f64 a b) (/.f64 c b) (/.f64 (*.f64 (*.f64 (*.f64 c c) a) a) (pow.f64 b #s(literal 4 binary64)))) #s(literal 2 binary64)) (neg.f64 b))
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(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))
(*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -2 binary64) #s(literal 1 binary64)) (neg.f64 b))
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(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(*.f64 (-.f64 (*.f64 (neg.f64 c) (/.f64 a (pow.f64 b #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) b)) c)
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
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(*.f64 (*.f64 c #s(literal -2 binary64)) (fma.f64 c (*.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) (/.f64 a b)))
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(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
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(*.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (/.f64 b a) c) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -4 binary64))))) c)
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 c a) #s(literal 3 binary64)))) (*.f64 b (/.f64 b (sqrt.f64 #s(literal -4 binary64))))) #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (/.f64 b a) c) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -4 binary64)))))) c)
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))
(*.f64 (fma.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal -4 binary64)) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64))) (pow.f64 a #s(literal 5 binary64)))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 c a) #s(literal 3 binary64)))) (*.f64 b (/.f64 b (sqrt.f64 #s(literal -4 binary64))))) #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (/.f64 b a) c) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -4 binary64))))))) c)
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64)) (/.f64 (neg.f64 b) c)) c)
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c)))
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 b (/.f64 b (sqrt.f64 #s(literal -4 binary64))))) #s(literal 1/2 binary64) (-.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64))) (/.f64 b c))) 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 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal -4 binary64)) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64))) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 b (/.f64 b (sqrt.f64 #s(literal -4 binary64))))) #s(literal 1/2 binary64) (-.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64))) (/.f64 b c)))) c)
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 b (/.f64 b (sqrt.f64 #s(literal -4 binary64))))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))) 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)))))
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal -4 binary64)) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64))) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 b (/.f64 b (sqrt.f64 #s(literal -4 binary64))))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64))))) c)
(* 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 (fma.f64 (*.f64 #s(literal 1/16 binary64) (/.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)))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal -4 binary64)) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64))) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 b (/.f64 b (sqrt.f64 #s(literal -4 binary64))))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))))) c)
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))
(*.f64 (neg.f64 c) (fma.f64 #s(literal 4 binary64) a (/.f64 (*.f64 (neg.f64 b) b) c)))
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(*.f64 (neg.f64 c) (fma.f64 (/.f64 #s(literal 1/2 binary64) c) (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -1 binary64)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(*.f64 (neg.f64 c) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/8 binary64)) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))) (neg.f64 c))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(*.f64 (neg.f64 c) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) c))) (pow.f64 b #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/128 binary64)) (*.f64 (*.f64 (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64)))) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/8 binary64)))) (neg.f64 c))) (neg.f64 c))))
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))
(*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c)) (/.f64 b c)))
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c)) (/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/4 binary64))) b) (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 (neg.f64 c) (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c)) (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (pow.f64 b #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/64 binary64)))) (neg.f64 c)) b) (neg.f64 c))))
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64)))))
(* -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 (neg.f64 c) (fma.f64 (*.f64 #s(literal -1/64 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64))) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 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 (neg.f64 c) (fma.f64 (*.f64 #s(literal 1/512 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 6 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 7 binary64))) (pow.f64 a #s(literal 5 binary64)))) (fma.f64 (*.f64 #s(literal -1/64 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64))) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64)))))))

rewrite307.0ms (4%)

Memory
-24.0MiB live, 325.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01451
02351
17351
250850
3617649
0875145
Stop Event
iter limit
node limit
iter limit
Counts
5 → 363
Calls
Call 1
Inputs
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))
(/.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 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))
(neg.f64 b)
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))
Outputs
(*.f64 (/.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) #s(literal 2 binary64)) (fma.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 b #s(literal 6 binary64)))) (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))))))
(*.f64 (/.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) #s(literal 2 binary64)) (fma.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64))))
(*.f64 (/.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) #s(literal 2 binary64)) (pow.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) #s(literal 2 binary64))) (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)))
(*.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 b #s(literal 6 binary64))) (-.f64 (pow.f64 b #s(literal 8 binary64)) (pow.f64 (*.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)))) #s(literal 2 binary64)))) (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))))))
(*.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 b #s(literal 6 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)))) #s(literal 3 binary64)) (pow.f64 b #s(literal 12 binary64)))) (fma.f64 (*.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)))) (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64))) (pow.f64 b #s(literal 8 binary64))))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (pow.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) #s(literal 1/4 binary64)) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)))))
(*.f64 (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64))) (/.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))))
(*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))))
(*.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) (/.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))))
(pow.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) #s(literal 1/4 binary64)) #s(literal 4 binary64))
(pow.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (-.f64 (pow.f64 b #s(literal 8 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) a) c) #s(literal 4 binary64))) #s(literal 1/4 binary64))
(pow.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) #s(literal 2 binary64))
(pow.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) #s(literal 1 binary64))
(/.f64 (*.f64 (hypot.f64 (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) a) c) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (hypot.f64 (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) a) c) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))))
(/.f64 (*.f64 (hypot.f64 (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) a) c) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)))) (sqrt.f64 (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))))
(/.f64 (*.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) (hypot.f64 (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) a) c) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (sqrt.f64 (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64))))))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (hypot.f64 (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) a) c) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64)))) (sqrt.f64 (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)))) (*.f64 (/.f64 (pow.f64 (*.f64 c (*.f64 a #s(literal 4 binary64))) #s(literal 2 binary64)) (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (/.f64 (pow.f64 (*.f64 c (*.f64 a #s(literal 4 binary64))) #s(literal 2 binary64)) (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))))) (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64))))) (*.f64 (/.f64 (pow.f64 (*.f64 c (*.f64 a #s(literal 4 binary64))) #s(literal 3 binary64)) (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))) (/.f64 (pow.f64 (*.f64 c (*.f64 a #s(literal 4 binary64))) #s(literal 3 binary64)) (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))))) (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)))
(/.f64 (-.f64 (pow.f64 (*.f64 c (*.f64 a #s(literal 4 binary64))) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))) (-.f64 (*.f64 c (*.f64 a #s(literal 4 binary64))) (*.f64 b b)))
(/.f64 (-.f64 (pow.f64 (*.f64 c (*.f64 a #s(literal 4 binary64))) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))) (-.f64 (*.f64 (*.f64 #s(literal -4 binary64) a) c) (*.f64 b b)))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 c (*.f64 a #s(literal 4 binary64))) #s(literal 2 binary64)) (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (fma.f64 (/.f64 (pow.f64 (*.f64 c (*.f64 a #s(literal 4 binary64))) #s(literal 2 binary64)) (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (/.f64 (pow.f64 (*.f64 c (*.f64 a #s(literal 4 binary64))) #s(literal 2 binary64)) (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (/.f64 (pow.f64 (*.f64 c (*.f64 a #s(literal 4 binary64))) #s(literal 2 binary64)) (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 c (*.f64 a #s(literal 4 binary64))) #s(literal 3 binary64)) (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))) (fma.f64 (/.f64 (pow.f64 (*.f64 c (*.f64 a #s(literal 4 binary64))) #s(literal 3 binary64)) (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))) (/.f64 (pow.f64 (*.f64 c (*.f64 a #s(literal 4 binary64))) #s(literal 3 binary64)) (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))) (*.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))) (/.f64 (pow.f64 (*.f64 c (*.f64 a #s(literal 4 binary64))) #s(literal 3 binary64)) (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64))))))))
(/.f64 (*.f64 (hypot.f64 (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) a) c) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (hypot.f64 (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) a) c) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))) (sqrt.f64 (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (*.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) (pow.f64 (*.f64 c (*.f64 a #s(literal 4 binary64))) #s(literal 2 binary64)))) (pow.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) #s(literal 2 binary64)))
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(fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 (neg.f64 b) b))
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(fma.f64 b (/.f64 b (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))))) (/.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))))))
(-.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) b (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))))) (/.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) #s(literal 3/2 binary64)) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) b (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))))))
(-.f64 (/.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))))) (/.f64 (*.f64 b b) (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))))))
(-.f64 (/.f64 (*.f64 b b) (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))))) (/.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))))))
(-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (neg.f64 b))
(-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))))
(-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))))
(+.f64 (/.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) #s(literal 3/2 binary64)) (neg.f64 (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) b (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)))))) (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) b (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))))))
(+.f64 (/.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) #s(literal 3/2 binary64)) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) b (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))))) (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) b (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))))))
(+.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) b (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))))) (neg.f64 (/.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) #s(literal 3/2 binary64)) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) b (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)))))))
(+.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) b (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))))) (/.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) #s(literal 3/2 binary64)) (neg.f64 (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) b (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)))))))
(+.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) b (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))))) (/.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) #s(literal 3/2 binary64)) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) b (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))))))
(+.f64 (/.f64 (*.f64 b b) (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))))) (/.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))))))
(+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (neg.f64 b))
(+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) b)
(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))))
(+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))))
(neg.f64 b)
(*.f64 (neg.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) #s(literal 1/4 binary64))))
(*.f64 (neg.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) #s(literal 1/4 binary64)))
(*.f64 (fabs.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) #s(literal 1/4 binary64))))
(*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)))) (sqrt.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)))))
(*.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) #s(literal 1/4 binary64)) (neg.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) #s(literal 1/4 binary64)))
(pow.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (-.f64 (pow.f64 b #s(literal 8 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) a) c) #s(literal 4 binary64))) #s(literal 1/8 binary64))
(pow.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) #s(literal 1 binary64))
(pow.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (hypot.f64 (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) a) c) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64))))))
(/.f64 (neg.f64 (hypot.f64 (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) a) c) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64)))) (sqrt.f64 (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))))
(/.f64 (fabs.f64 (hypot.f64 (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) a) c) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64)))) (fabs.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64))))))
(/.f64 (hypot.f64 (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) a) c) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64))))))
(/.f64 (hypot.f64 (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) a) c) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (sqrt.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)))))))
(/.f64 (hypot.f64 (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) a) c) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (sqrt.f64 (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))))
(/.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))))
(neg.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))))
(sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)))
(fabs.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)))))
(+.f64 (cosh.f64 (log.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))))) (sinh.f64 (log.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))))))

eval104.0ms (1.3%)

Memory
-20.7MiB live, 122.4MiB allocated
Compiler

Compiled 17 326 to 2 038 computations (88.2% saved)

prune17.0ms (0.2%)

Memory
36.2MiB live, 36.2MiB allocated
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New44612458
Fresh000
Picked101
Done000
Total44712459
Accuracy
91.3%
Counts
459 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
19.3%
(/.f64 (+.f64 (neg.f64 b) (/.f64 (hypot.f64 (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) a) c) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (sqrt.f64 (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))))) (*.f64 #s(literal 2 binary64) a))
54.6%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a))
8.7%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (/.f64 (-.f64 (pow.f64 b #s(literal 12 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) a) c) #s(literal 6 binary64))) (*.f64 (+.f64 (pow.f64 (*.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)))) #s(literal 2 binary64)) (pow.f64 b #s(literal 8 binary64))) (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)))))) (*.f64 #s(literal 2 binary64) a))
40.2%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -4 binary64) #s(literal 1 binary64)) b) b)))) (*.f64 #s(literal 2 binary64) a))
36.0%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a))
28.1%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a))
35.2%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -2 binary64) #s(literal 2 binary64)) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a))
24.3%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)) (*.f64 #s(literal 2 binary64) a))
32.1%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))
35.4%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a))
30.0%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (-.f64 (*.f64 (neg.f64 c) (/.f64 a (pow.f64 b #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) b)) c))
35.2%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (fma.f64 (/.f64 (neg.f64 c) (*.f64 b b)) b (/.f64 b a))))
Compiler

Compiled 680 to 492 computations (27.6% saved)

simplify110.0ms (1.4%)

Memory
-6.7MiB live, 85.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -2 binary64) #s(literal 2 binary64))
cost-diff0
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -2 binary64) #s(literal 2 binary64)) (neg.f64 b)))
cost-diff0
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -2 binary64) #s(literal 2 binary64)) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a))
cost-diff1
(*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -2 binary64) #s(literal 2 binary64)) (neg.f64 b))
cost-diff0
(*.f64 (/.f64 a b) #s(literal -2 binary64))
cost-diff0
(*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)
cost-diff0
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c))
cost-diff0
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)) (*.f64 #s(literal 2 binary64) a))
cost-diff0
(sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))
cost-diff0
(neg.f64 b)
cost-diff0
(+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))))
cost-diff0
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a))
cost-diff0
(neg.f64 b)
cost-diff0
(/.f64 (neg.f64 b) a)
cost-diff0
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a))
cost-diff0
(sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))
cost-diff0
(neg.f64 b)
cost-diff0
(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))
cost-diff0
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042342
066342
1126333
2271333
3528333
41533333
54903333
08167330
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a))
(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))
(neg.f64 b)
b
(sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))
(fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))
(*.f64 c #s(literal -4 binary64))
c
#s(literal -4 binary64)
a
(*.f64 b b)
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a))
(/.f64 (neg.f64 b) a)
(neg.f64 b)
b
a
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a))
(+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))))
(neg.f64 b)
b
(sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))
#s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))
(*.f64 b b)
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)
a
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)) (*.f64 #s(literal 2 binary64) a))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c))
(*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)
(*.f64 (/.f64 a b) #s(literal -2 binary64))
(/.f64 a b)
a
b
#s(literal -2 binary64)
c
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -2 binary64) #s(literal 2 binary64)) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -2 binary64) #s(literal 2 binary64)) (neg.f64 b)))
(*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -2 binary64) #s(literal 2 binary64)) (neg.f64 b))
(fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -2 binary64) #s(literal 2 binary64))
(/.f64 (*.f64 a (/.f64 c b)) b)
(*.f64 a (/.f64 c b))
a
(/.f64 c b)
c
b
#s(literal -2 binary64)
#s(literal 2 binary64)
(neg.f64 b)
(*.f64 #s(literal 2 binary64) a)
Outputs
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a))
(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))
(+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (neg.f64 b))
(neg.f64 b)
b
(sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))
(fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))
(fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))
(*.f64 c #s(literal -4 binary64))
(*.f64 #s(literal -4 binary64) c)
c
#s(literal -4 binary64)
a
(*.f64 b b)
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a))
(/.f64 (neg.f64 b) a)
(neg.f64 b)
b
a
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (+.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a))
(+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))))
(+.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))) (neg.f64 b))
(neg.f64 b)
b
(sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))
#s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))
(*.f64 b b)
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)
a
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 (/.f64 c b) a) #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) a))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 (/.f64 c b) a) #s(literal -2 binary64)))
(*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)
(*.f64 (*.f64 (/.f64 c b) a) #s(literal -2 binary64))
(*.f64 (/.f64 a b) #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) (/.f64 a b))
(/.f64 a b)
a
b
#s(literal -2 binary64)
c
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -2 binary64) #s(literal 2 binary64)) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (fma.f64 (/.f64 (/.f64 c b) b) (*.f64 #s(literal 2 binary64) a) #s(literal -2 binary64)) b)) (*.f64 #s(literal 2 binary64) a))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -2 binary64) #s(literal 2 binary64)) (neg.f64 b)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (fma.f64 (/.f64 (/.f64 c b) b) (*.f64 #s(literal 2 binary64) a) #s(literal -2 binary64)) b))
(*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -2 binary64) #s(literal 2 binary64)) (neg.f64 b))
(*.f64 (fma.f64 (/.f64 (/.f64 c b) b) (*.f64 #s(literal 2 binary64) a) #s(literal -2 binary64)) b)
(fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -2 binary64) #s(literal 2 binary64))
(fma.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal -2 binary64) #s(literal 2 binary64))
(/.f64 (*.f64 a (/.f64 c b)) b)
(/.f64 (*.f64 (/.f64 c b) a) b)
(*.f64 a (/.f64 c b))
(*.f64 (/.f64 c b) a)
a
(/.f64 c b)
c
b
#s(literal -2 binary64)
#s(literal 2 binary64)
(neg.f64 b)
(*.f64 #s(literal 2 binary64) a)

localize172.0ms (2.2%)

Memory
16.5MiB live, 153.4MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy2.5563286436102928
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -2 binary64) #s(literal 2 binary64)) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a))
accuracy4.411329588707295
(*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -2 binary64) #s(literal 2 binary64)) (neg.f64 b))
accuracy5.064763532280746
(*.f64 a (/.f64 c b))
accuracy41.3634762888962
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -2 binary64) #s(literal 2 binary64)) (neg.f64 b)))
accuracy0.00390625
(*.f64 (/.f64 a b) #s(literal -2 binary64))
accuracy2.5563286436102928
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)) (*.f64 #s(literal 2 binary64) a))
accuracy5.288211173891837
(*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)
accuracy43.43254829940173
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c))
accuracy2.5563286436102928
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a))
accuracy13.889484465437658
(+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))))
accuracy21.041140366635535
#s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))
accuracy25.763415571126153
(sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))
accuracy0.0
(/.f64 (neg.f64 b) a)
accuracy0.0
(neg.f64 b)
accuracy41.31699051199901
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a))
accuracy0.0078125
(fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))
accuracy2.5563286436102928
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a))
accuracy13.889484465437658
(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))
accuracy25.763415571126153
(sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))
Samples
74.0ms179×0valid
38.0ms34×2valid
14.0ms39×1valid
3.0ms3valid
Compiler

Compiled 285 to 34 computations (88.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 91.0ms
ival-add: 49.0ms (53.7% of total)
ival-mult: 17.0ms (18.6% of total)
ival-div: 11.0ms (12.1% of total)
adjust: 5.0ms (5.5% of total)
ival-sqrt: 5.0ms (5.5% of total)
ival-sub: 2.0ms (2.2% of total)
ival-neg: 1.0ms (1.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series35.0ms (0.5%)

Memory
4.1MiB live, 48.5MiB allocated
Counts
20 → 120
Calls
Call 1
Inputs
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a))
(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))
(neg.f64 b)
(sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a))
(/.f64 (neg.f64 b) a)
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a))
(+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))))
(sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)) (*.f64 #s(literal 2 binary64) a))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c))
(*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)
(*.f64 (/.f64 a b) #s(literal -2 binary64))
(*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -2 binary64) #s(literal 2 binary64)) (neg.f64 b))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -2 binary64) #s(literal 2 binary64)) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -2 binary64) #s(literal 2 binary64)) (neg.f64 b)))
(fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -2 binary64) #s(literal 2 binary64))
(fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))
#s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))
(*.f64 a (/.f64 c b))
Outputs
(* -1 (/ c b))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))
(* -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))))))))
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))))))))
(* -1 (/ b a))
(* -2 (/ a b))
(* -2 b)
(+ (* -2 b) (* 2 (/ (* a c) b)))
2
(+ 2 (* -2 (/ (* a c) (pow b 2))))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(/ (* a c) b)
(* 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)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
(* (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)))
(* 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 (/ (* a c) b))
(* a (+ (* -2 (/ b a)) (* 2 (/ c b))))
(* -2 (/ (* a c) (pow b 2)))
(* a (+ (* -2 (/ c (pow b 2))) (* 2 (/ 1 a))))
(* -4 (* a c))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* a (- (/ (pow b 2) a) (* 4 c)))
(* -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 (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 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))))))
(* -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))))))))
(* -1 (* a (+ (* -2 (/ c b)) (* 2 (/ b a)))))
(* -1 (* a (- (* 2 (/ c (pow b 2))) (* 2 (/ 1 a)))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))
(+ (* 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 (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))
(+ (* -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)))
(* -1 b)
(+ (* 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)))))))))
(/ (+ (* -2 (pow b 2)) (* 2 (* a c))) b)
(/ (+ (* -2 (* a c)) (* 2 (pow b 2))) (pow b 2))
(- (pow b 2) (* 4 (* a c)))
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) 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)
(* 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)))))))
(* b (- (* 2 (/ (* a c) (pow b 2))) 2))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))
(* -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))))))))
(* -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))))))))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 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))))))))
(+ 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))))))))
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* 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)))
(* 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))))))
(* c (+ (* -2 (/ b c)) (* 2 (/ a b))))
(* c (+ (* -2 (/ a (pow b 2))) (* 2 (/ 1 c))))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(* c (- (/ (pow b 2) c) (* 4 a)))
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* 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))))))
(* -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 (* c (+ (* -2 (/ a b)) (* 2 (/ b c)))))
(* -1 (* c (- (* 2 (/ a (pow b 2))) (* 2 (/ 1 c)))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))
Calls

9 calls:

TimeVariablePointExpression
10.0ms
a
@0
((/ (+ (neg b) (sqrt (+ (* (* c -4) a) (* b b)))) (* 2 a)) (+ (neg b) (sqrt (+ (* (* c -4) a) (* b b)))) (neg b) (sqrt (+ (* (* c -4) a) (* b b))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (neg b) a) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (- (* b b) (* (* 4 a) c))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* (* (/ a b) -2) c) (* (/ a b) -2) (* (+ (* (/ (* a (/ c b)) b) -2) 2) (neg b)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ (* (/ (* a (/ c b)) b) -2) 2) (+ (* (* c -4) a) (* b b)) (- (* b b) (* (* 4 a) c)) (* a (/ c b)))
3.0ms
b
@inf
((/ (+ (neg b) (sqrt (+ (* (* c -4) a) (* b b)))) (* 2 a)) (+ (neg b) (sqrt (+ (* (* c -4) a) (* b b)))) (neg b) (sqrt (+ (* (* c -4) a) (* b b))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (neg b) a) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (- (* b b) (* (* 4 a) c))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* (* (/ a b) -2) c) (* (/ a b) -2) (* (+ (* (/ (* a (/ c b)) b) -2) 2) (neg b)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ (* (/ (* a (/ c b)) b) -2) 2) (+ (* (* c -4) a) (* b b)) (- (* b b) (* (* 4 a) c)) (* a (/ c b)))
3.0ms
b
@0
((/ (+ (neg b) (sqrt (+ (* (* c -4) a) (* b b)))) (* 2 a)) (+ (neg b) (sqrt (+ (* (* c -4) a) (* b b)))) (neg b) (sqrt (+ (* (* c -4) a) (* b b))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (neg b) a) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (- (* b b) (* (* 4 a) c))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* (* (/ a b) -2) c) (* (/ a b) -2) (* (+ (* (/ (* a (/ c b)) b) -2) 2) (neg b)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ (* (/ (* a (/ c b)) b) -2) 2) (+ (* (* c -4) a) (* b b)) (- (* b b) (* (* 4 a) c)) (* a (/ c b)))
3.0ms
a
@-inf
((/ (+ (neg b) (sqrt (+ (* (* c -4) a) (* b b)))) (* 2 a)) (+ (neg b) (sqrt (+ (* (* c -4) a) (* b b)))) (neg b) (sqrt (+ (* (* c -4) a) (* b b))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (neg b) a) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (- (* b b) (* (* 4 a) c))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* (* (/ a b) -2) c) (* (/ a b) -2) (* (+ (* (/ (* a (/ c b)) b) -2) 2) (neg b)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ (* (/ (* a (/ c b)) b) -2) 2) (+ (* (* c -4) a) (* b b)) (- (* b b) (* (* 4 a) c)) (* a (/ c b)))
3.0ms
a
@inf
((/ (+ (neg b) (sqrt (+ (* (* c -4) a) (* b b)))) (* 2 a)) (+ (neg b) (sqrt (+ (* (* c -4) a) (* b b)))) (neg b) (sqrt (+ (* (* c -4) a) (* b b))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (neg b) a) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (- (* b b) (* (* 4 a) c))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* (* (/ a b) -2) c) (* (/ a b) -2) (* (+ (* (/ (* a (/ c b)) b) -2) 2) (neg b)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ (* (/ (* a (/ c b)) b) -2) 2) (+ (* (* c -4) a) (* b b)) (- (* b b) (* (* 4 a) c)) (* a (/ c b)))

simplify307.0ms (4%)

Memory
-39.5MiB live, 302.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06013088
121303039
084432890
Stop Event
iter limit
node limit
Counts
120 → 119
Calls
Call 1
Inputs
(* -1 (/ c b))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))
(* -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))))))))
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))))))))
(* -1 (/ b a))
(* -2 (/ a b))
(* -2 b)
(+ (* -2 b) (* 2 (/ (* a c) b)))
2
(+ 2 (* -2 (/ (* a c) (pow b 2))))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(/ (* a c) b)
(* 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)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
(* (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)))
(* 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 (/ (* a c) b))
(* a (+ (* -2 (/ b a)) (* 2 (/ c b))))
(* -2 (/ (* a c) (pow b 2)))
(* a (+ (* -2 (/ c (pow b 2))) (* 2 (/ 1 a))))
(* -4 (* a c))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* a (- (/ (pow b 2) a) (* 4 c)))
(* -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 (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 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))))))
(* -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))))))))
(* -1 (* a (+ (* -2 (/ c b)) (* 2 (/ b a)))))
(* -1 (* a (- (* 2 (/ c (pow b 2))) (* 2 (/ 1 a)))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))
(+ (* 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 (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))
(+ (* -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)))
(* -1 b)
(+ (* 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)))))))))
(/ (+ (* -2 (pow b 2)) (* 2 (* a c))) b)
(/ (+ (* -2 (* a c)) (* 2 (pow b 2))) (pow b 2))
(- (pow b 2) (* 4 (* a c)))
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) 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)
(* 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)))))))
(* b (- (* 2 (/ (* a c) (pow b 2))) 2))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))
(* -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))))))))
(* -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))))))))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 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))))))))
(+ 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))))))))
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* 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)))
(* 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))))))
(* c (+ (* -2 (/ b c)) (* 2 (/ a b))))
(* c (+ (* -2 (/ a (pow b 2))) (* 2 (/ 1 c))))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(* c (- (/ (pow b 2) c) (* 4 a)))
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* 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))))))
(* -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 (* c (+ (* -2 (/ a b)) (* 2 (/ b c)))))
(* -1 (* c (- (* 2 (/ a (pow b 2))) (* 2 (/ 1 c)))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))
Outputs
(* -1 (/ c b))
(/.f64 (neg.f64 c) b)
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
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(*.f64 (neg.f64 c) (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) c)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/8 binary64)) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))) (neg.f64 c))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(*.f64 (neg.f64 c) (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) c)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64)))) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/8 binary64)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) c))) (pow.f64 b #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/128 binary64)))) (neg.f64 c))) (neg.f64 c))))
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))
(*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c)) (/.f64 b c)))
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c)) (/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) c)) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/4 binary64))) b) (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 (neg.f64 c) (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c)) (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (pow.f64 b #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/64 binary64)))) (neg.f64 c)) b) (neg.f64 c))))
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64)))))
(* -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 (neg.f64 c) (fma.f64 (*.f64 #s(literal -1/64 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64))) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 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 (neg.f64 c) (fma.f64 (*.f64 #s(literal -1/64 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64))) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 1/512 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 6 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 7 binary64))) (pow.f64 a #s(literal 5 binary64)))) (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64)))))))
(* -1 (* c (+ (* -2 (/ a b)) (* 2 (/ b c)))))
(*.f64 (neg.f64 c) (*.f64 #s(literal -2 binary64) (-.f64 (/.f64 a b) (/.f64 b c))))
(* -1 (* c (- (* 2 (/ a (pow b 2))) (* 2 (/ 1 c)))))
(*.f64 (neg.f64 c) (fma.f64 (/.f64 #s(literal 2 binary64) b) (/.f64 a b) (/.f64 #s(literal -2 binary64) c)))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(*.f64 (neg.f64 c) (fma.f64 #s(literal 4 binary64) a (/.f64 (*.f64 (neg.f64 b) b) c)))
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))
(*.f64 (neg.f64 c) (fma.f64 #s(literal 4 binary64) a (/.f64 (*.f64 (neg.f64 b) b) c)))

rewrite224.0ms (2.9%)

Memory
23.6MiB live, 260.8MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
042282
066282
1217273
21448273
08680273
Stop Event
iter limit
node limit
iter limit
Counts
20 → 501
Calls
Call 1
Inputs
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a))
(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))
(neg.f64 b)
(sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a))
(/.f64 (neg.f64 b) a)
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a))
(+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))))
(sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)) (*.f64 #s(literal 2 binary64) a))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c))
(*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)
(*.f64 (/.f64 a b) #s(literal -2 binary64))
(*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -2 binary64) #s(literal 2 binary64)) (neg.f64 b))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -2 binary64) #s(literal 2 binary64)) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -2 binary64) #s(literal 2 binary64)) (neg.f64 b)))
(fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -2 binary64) #s(literal 2 binary64))
(fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))
#s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))
(*.f64 a (/.f64 c b))
Outputs
(*.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)))
(*.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (neg.f64 b)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)))
(*.f64 (/.f64 (fma.f64 b b (+.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) (*.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))) (fma.f64 b b (+.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) (*.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))))) (/.f64 (+.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a)))
(/.f64 (-.f64 (/.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) (pow.f64 (*.f64 #s(literal 2 binary64) a) #s(literal 2 binary64))) (pow.f64 (/.f64 b (*.f64 #s(literal -2 binary64) a)) #s(literal 2 binary64))) (-.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (*.f64 #s(literal 2 binary64) a)) (/.f64 b (*.f64 #s(literal -2 binary64) a))))
(/.f64 (+.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (*.f64 #s(literal 2 binary64) a)) #s(literal 3 binary64)) (pow.f64 (/.f64 b (*.f64 #s(literal -2 binary64) a)) #s(literal 3 binary64))) (+.f64 (/.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) (pow.f64 (*.f64 #s(literal 2 binary64) a) #s(literal 2 binary64))) (-.f64 (pow.f64 (/.f64 b (*.f64 #s(literal -2 binary64) a)) #s(literal 2 binary64)) (*.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (*.f64 #s(literal 2 binary64) a)) (/.f64 b (*.f64 #s(literal -2 binary64) a))))))
(/.f64 (neg.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (neg.f64 b)) a)) #s(literal -2 binary64))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 b (*.f64 #s(literal -2 binary64) a)) #s(literal 2 binary64)) (/.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) (pow.f64 (*.f64 #s(literal 2 binary64) a) #s(literal 2 binary64))))) (neg.f64 (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 b (*.f64 #s(literal -2 binary64) a)) #s(literal 3 binary64)) (pow.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (*.f64 #s(literal 2 binary64) a)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 b (*.f64 #s(literal -2 binary64) a)) #s(literal 2 binary64)) (-.f64 (/.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) (pow.f64 (*.f64 #s(literal 2 binary64) a) #s(literal 2 binary64))) (/.f64 (*.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (neg.f64 b)) (pow.f64 (*.f64 #s(literal 2 binary64) a) #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (neg.f64 b)) #s(literal 2 binary64)))) (neg.f64 (neg.f64 a)))
(/.f64 (neg.f64 (neg.f64 (+.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) b))) (neg.f64 (neg.f64 (*.f64 #s(literal -2 binary64) a))))
(/.f64 (neg.f64 (fma.f64 (neg.f64 b) (*.f64 #s(literal 2 binary64) a) (*.f64 (*.f64 #s(literal 2 binary64) a) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))) (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) a) #s(literal 2 binary64))))
(/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) a) a (*.f64 #s(literal 2 binary64) (/.f64 b #s(literal -2 binary64)))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) a) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (neg.f64 b) a))) #s(literal 4 binary64))
(/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) a) (*.f64 #s(literal 2 binary64) a) (*.f64 #s(literal 2 binary64) (neg.f64 b))) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) a)))
(/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) a) (*.f64 #s(literal -2 binary64) a) (*.f64 #s(literal 2 binary64) b)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) a)))
(/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) #s(literal 2 binary64)) a (*.f64 a (/.f64 b #s(literal -2 binary64)))) (*.f64 a a))
(/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 a (/.f64 (neg.f64 b) a))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) a) (*.f64 a (neg.f64 b))) (*.f64 a (*.f64 #s(literal 2 binary64) a)))
(/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) a) (*.f64 a b)) (*.f64 a (*.f64 #s(literal -2 binary64) a)))
(/.f64 (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) a (*.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 b #s(literal -2 binary64)))) (*.f64 (*.f64 #s(literal -2 binary64) a) a))
(/.f64 (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) #s(literal 2 binary64) (*.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 (neg.f64 b) a))) (*.f64 (*.f64 #s(literal -2 binary64) a) #s(literal 2 binary64)))
(/.f64 (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a) (*.f64 (*.f64 #s(literal -2 binary64) a) (neg.f64 b))) (*.f64 (*.f64 #s(literal -2 binary64) a) (*.f64 #s(literal 2 binary64) a)))
(/.f64 (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (*.f64 #s(literal -2 binary64) a) (*.f64 (*.f64 #s(literal -2 binary64) a) b)) (pow.f64 (*.f64 #s(literal 2 binary64) a) #s(literal 2 binary64)))
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) a (*.f64 (*.f64 #s(literal 2 binary64) a) (/.f64 b #s(literal -2 binary64)))) (*.f64 (*.f64 #s(literal 2 binary64) a) a))
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) a) (/.f64 (neg.f64 b) a))) (*.f64 (*.f64 #s(literal 2 binary64) a) #s(literal 2 binary64)))
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (*.f64 #s(literal 2 binary64) a) (*.f64 (*.f64 #s(literal 2 binary64) a) (neg.f64 b))) (pow.f64 (*.f64 #s(literal 2 binary64) a) #s(literal 2 binary64)))
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (*.f64 #s(literal -2 binary64) a) (*.f64 (*.f64 #s(literal 2 binary64) a) b)) (*.f64 (*.f64 #s(literal 2 binary64) a) (*.f64 #s(literal -2 binary64) a)))
(/.f64 (fma.f64 (/.f64 b #s(literal -2 binary64)) #s(literal 2 binary64) (*.f64 a (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) a))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (fma.f64 (/.f64 b #s(literal -2 binary64)) a (*.f64 a (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) #s(literal 2 binary64)))) (*.f64 a a))
(/.f64 (fma.f64 (/.f64 b #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) a) (*.f64 a (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))) (*.f64 a (*.f64 #s(literal -2 binary64) a)))
(/.f64 (fma.f64 (/.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) a) (*.f64 a (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) (*.f64 a (*.f64 #s(literal 2 binary64) a)))
(/.f64 (fma.f64 (/.f64 (neg.f64 b) a) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) a))) #s(literal 4 binary64))
(/.f64 (fma.f64 (/.f64 (neg.f64 b) a) a (*.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (fma.f64 (/.f64 (neg.f64 b) a) (*.f64 #s(literal -2 binary64) a) (*.f64 #s(literal 2 binary64) (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) a)))
(/.f64 (fma.f64 (/.f64 (neg.f64 b) a) (*.f64 #s(literal 2 binary64) a) (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) a)))
(/.f64 (fma.f64 (neg.f64 b) #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) a) (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) a))) (*.f64 (*.f64 #s(literal 2 binary64) a) #s(literal 2 binary64)))
(/.f64 (fma.f64 (neg.f64 b) a (*.f64 (*.f64 #s(literal 2 binary64) a) (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) #s(literal 2 binary64)))) (*.f64 (*.f64 #s(literal 2 binary64) a) a))
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(pow.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)) #s(literal 1 binary64))
#s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))
(sqrt.f64 (pow.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)) #s(literal 2 binary64)))
(fabs.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))) #s(literal 1 binary64)))
(exp.f64 (log.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))))
(*.f64 (/.f64 c b) a)
(*.f64 a (/.f64 c b))
(/.f64 (neg.f64 (*.f64 (neg.f64 c) a)) b)
(/.f64 (neg.f64 (*.f64 a (neg.f64 c))) b)
(/.f64 (neg.f64 (neg.f64 (*.f64 a c))) b)
(/.f64 (*.f64 (neg.f64 c) a) (neg.f64 b))
(/.f64 (*.f64 a (neg.f64 c)) (neg.f64 b))
(/.f64 (neg.f64 (*.f64 a c)) (neg.f64 b))
(/.f64 (*.f64 a c) b)

eval84.0ms (1.1%)

Memory
-1.0MiB live, 188.0MiB allocated
Compiler

Compiled 27 548 to 2 869 computations (89.6% saved)

prune28.0ms (0.4%)

Memory
-21.7MiB live, 78.1MiB allocated
Pruning

20 alts after pruning (17 fresh and 3 done)

PrunedKeptTotal
New61312625
Fresh257
Picked235
Done000
Total61720637
Accuracy
91.4%
Counts
637 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
53.3%
(fma.f64 (/.f64 (pow.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) #s(literal 1/4 binary64)) a) (/.f64 (pow.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (/.f64 b (*.f64 #s(literal -2 binary64) a)))
37.7%
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (*.f64 #s(literal -2 binary64) a) (*.f64 (*.f64 #s(literal 2 binary64) a) b)) (*.f64 (*.f64 #s(literal 2 binary64) a) (*.f64 #s(literal -2 binary64) a)))
29.1%
(/.f64 (/.f64 (-.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) (*.f64 b b)) (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a))
28.5%
(/.f64 (-.f64 (pow.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (*.f64 (fma.f64 b b (+.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) (*.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))) (*.f64 #s(literal 2 binary64) a)))
23.6%
(/.f64 (-.f64 (*.f64 b b) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)))
54.6%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a))
40.2%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -4 binary64) #s(literal 1 binary64)) b) b)))) (*.f64 #s(literal 2 binary64) a))
36.0%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a))
28.1%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a))
51.0%
(/.f64 (+.f64 (neg.f64 b) (exp.f64 (log.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))) (*.f64 #s(literal 2 binary64) a))
26.5%
(/.f64 (+.f64 (neg.f64 b) (exp.f64 (log.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))))) (*.f64 #s(literal 2 binary64) a))
25.6%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) c) b)) (*.f64 #s(literal 2 binary64) a))
35.2%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (fma.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 (/.f64 c b) b) #s(literal 2 binary64)) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a))
24.3%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 a (/.f64 #s(literal -2 binary64) b)) c)) (*.f64 #s(literal 2 binary64) a))
8.3%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (+ (* (/ (* a (/ c b)) b) -2) 2) (neg b)) (*.f64 (*.f64 a (/.f64 c b)) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) a))
54.4%
(+.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (*.f64 #s(literal 2 binary64) a)) (/.f64 b (*.f64 #s(literal -2 binary64) a)))
32.1%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))
35.4%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a))
30.0%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (-.f64 (*.f64 (neg.f64 c) (/.f64 a (pow.f64 b #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) b)) c))
35.2%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (fma.f64 (/.f64 (neg.f64 c) (*.f64 b b)) b (/.f64 b a))))
Compiler

Compiled 1 011 to 686 computations (32.1% saved)

simplify86.0ms (1.1%)

Memory
18.9MiB live, 108.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(neg.f64 b)
cost-diff0
(/.f64 (+.f64 (neg.f64 b) (exp.f64 (log.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))))) (*.f64 #s(literal 2 binary64) a))
cost-diff1
(+.f64 (neg.f64 b) (exp.f64 (log.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))))))
cost-diff2
(exp.f64 (log.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))))
cost-diff0
(neg.f64 b)
cost-diff0
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -4 binary64) #s(literal 1 binary64)) b) b)))) (*.f64 #s(literal 2 binary64) a))
cost-diff1
(+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -4 binary64) #s(literal 1 binary64)) b) b))))
cost-diff4
(*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -4 binary64) #s(literal 1 binary64)) b)
cost-diff0
(*.f64 (*.f64 #s(literal -2 binary64) a) c)
cost-diff0
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) c) b)
cost-diff0
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) c) b))
cost-diff0
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) c) b)) (*.f64 #s(literal 2 binary64) a))
cost-diff0
(neg.f64 c)
cost-diff0
(/.f64 (neg.f64 c) b)
cost-diff0
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))
cost-diff0
(fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))
cost-diff0
(sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))
cost-diff0
(/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (*.f64 #s(literal 2 binary64) a))
cost-diff4
(+.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (*.f64 #s(literal 2 binary64) a)) (/.f64 b (*.f64 #s(literal -2 binary64) a)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
050453
081447
1147432
2311432
3682431
42555405
08339399
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(+.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (*.f64 #s(literal 2 binary64) a)) (/.f64 b (*.f64 #s(literal -2 binary64) a)))
(/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (*.f64 #s(literal 2 binary64) a))
(sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))
(fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))
a
(*.f64 #s(literal -4 binary64) c)
#s(literal -4 binary64)
c
(*.f64 b b)
b
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)
(/.f64 b (*.f64 #s(literal -2 binary64) a))
(*.f64 #s(literal -2 binary64) a)
#s(literal -2 binary64)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))
(/.f64 (neg.f64 c) b)
(neg.f64 c)
c
b
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) c) b)) (*.f64 #s(literal 2 binary64) a))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) c) b))
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) c) b)
(*.f64 (*.f64 #s(literal -2 binary64) a) c)
(*.f64 #s(literal -2 binary64) a)
#s(literal -2 binary64)
a
c
b
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -4 binary64) #s(literal 1 binary64)) b) b)))) (*.f64 #s(literal 2 binary64) a))
(+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -4 binary64) #s(literal 1 binary64)) b) b))))
(neg.f64 b)
b
(sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -4 binary64) #s(literal 1 binary64)) b) b)))
#s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -4 binary64) #s(literal 1 binary64)) b) b))
(*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -4 binary64) #s(literal 1 binary64)) b) b)
(*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -4 binary64) #s(literal 1 binary64)) b)
(fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -4 binary64) #s(literal 1 binary64))
(/.f64 (*.f64 a (/.f64 c b)) b)
(*.f64 a (/.f64 c b))
a
(/.f64 c b)
c
#s(literal -4 binary64)
#s(literal 1 binary64)
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)
(/.f64 (+.f64 (neg.f64 b) (exp.f64 (log.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))))) (*.f64 #s(literal 2 binary64) a))
(+.f64 (neg.f64 b) (exp.f64 (log.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))))))
(neg.f64 b)
b
(exp.f64 (log.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))))
(log.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))))
(sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))
#s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))
(*.f64 b b)
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)
a
Outputs
(+.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (*.f64 #s(literal 2 binary64) a)) (/.f64 b (*.f64 #s(literal -2 binary64) a)))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a))
(/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) (*.f64 #s(literal 2 binary64) a))
(sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))
(sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))
(fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))
(fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))
a
(*.f64 #s(literal -4 binary64) c)
(*.f64 c #s(literal -4 binary64))
#s(literal -4 binary64)
c
(*.f64 b b)
b
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)
(/.f64 b (*.f64 #s(literal -2 binary64) a))
(*.f64 #s(literal -2 binary64) a)
#s(literal -2 binary64)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))
(/.f64 (neg.f64 c) b)
(neg.f64 c)
c
b
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) c) b)) (*.f64 #s(literal 2 binary64) a))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) c) b))
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) c) b)
(*.f64 (*.f64 #s(literal -2 binary64) a) c)
(*.f64 #s(literal -2 binary64) a)
#s(literal -2 binary64)
a
c
b
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -4 binary64) #s(literal 1 binary64)) b) b)))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (fma.f64 (*.f64 (/.f64 c b) a) #s(literal -4 binary64) b) b))) b) (*.f64 #s(literal 2 binary64) a))
(+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -4 binary64) #s(literal 1 binary64)) b) b))))
(-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (fma.f64 (*.f64 (/.f64 c b) a) #s(literal -4 binary64) b) b))) b)
(neg.f64 b)
b
(sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -4 binary64) #s(literal 1 binary64)) b) b)))
(sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (fma.f64 (*.f64 (/.f64 c b) a) #s(literal -4 binary64) b) b)))
#s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -4 binary64) #s(literal 1 binary64)) b) b))
#s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (fma.f64 (*.f64 (/.f64 c b) a) #s(literal -4 binary64) b) b))
(*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -4 binary64) #s(literal 1 binary64)) b) b)
(*.f64 (fma.f64 (*.f64 (/.f64 c b) a) #s(literal -4 binary64) b) b)
(*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -4 binary64) #s(literal 1 binary64)) b)
(fma.f64 (*.f64 (/.f64 c b) a) #s(literal -4 binary64) b)
(fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -4 binary64) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal -4 binary64) #s(literal 1 binary64))
(/.f64 (*.f64 a (/.f64 c b)) b)
(/.f64 (*.f64 (/.f64 c b) a) b)
(*.f64 a (/.f64 c b))
(*.f64 (/.f64 c b) a)
a
(/.f64 c b)
c
#s(literal -4 binary64)
#s(literal 1 binary64)
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)
(/.f64 (+.f64 (neg.f64 b) (exp.f64 (log.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a))
(+.f64 (neg.f64 b) (exp.f64 (log.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))))))
(-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))) b)
(neg.f64 b)
b
(exp.f64 (log.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))))
(sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))
(log.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))))
(sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))
#s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))
(*.f64 b b)
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)
a

localize191.0ms (2.5%)

Memory
13.0MiB live, 296.9MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy5.55002339646372
(exp.f64 (log.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))))
accuracy13.889484465437658
(+.f64 (neg.f64 b) (exp.f64 (log.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))))))
accuracy21.041140366635535
#s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))
accuracy25.763415571126153
(sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))
accuracy4.497024563140628
(*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -4 binary64) #s(literal 1 binary64)) b) b)
accuracy5.064763532280746
(*.f64 a (/.f64 c b))
accuracy13.889484465437658
(+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -4 binary64) #s(literal 1 binary64)) b) b))))
accuracy25.763415571126153
(sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -4 binary64) #s(literal 1 binary64)) b) b)))
accuracy0.0
(*.f64 #s(literal -2 binary64) a)
accuracy2.5563286436102928
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) c) b)) (*.f64 #s(literal 2 binary64) a))
accuracy5.025732572811913
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) c) b)
accuracy43.43254829940173
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) c) b))
accuracy0.0
(/.f64 (neg.f64 c) b)
accuracy0.0
(neg.f64 c)
accuracy43.43160397935037
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))
accuracy0.0078125
(fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))
accuracy0.1015625
(/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (*.f64 #s(literal 2 binary64) a))
accuracy15.786464331175676
(+.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (*.f64 #s(literal 2 binary64) a)) (/.f64 b (*.f64 #s(literal -2 binary64) a)))
accuracy25.763415571126153
(sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))
Samples
84.0ms179×0valid
45.0ms38×2valid
22.0ms35×1valid
6.0ms3valid
Compiler

Compiled 357 to 42 computations (88.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 116.0ms
ival-div: 42.0ms (36.1% of total)
ival-exp: 22.0ms (18.9% of total)
ival-mult: 18.0ms (15.5% of total)
ival-log: 10.0ms (8.6% of total)
ival-add: 8.0ms (6.9% of total)
adjust: 6.0ms (5.2% of total)
ival-sqrt: 6.0ms (5.2% of total)
ival-sub: 2.0ms (1.7% of total)
ival-neg: 2.0ms (1.7% of total)
exact: 1.0ms (0.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series41.0ms (0.5%)

Memory
16.6MiB live, 61.7MiB allocated
Counts
24 → 151
Calls
Call 1
Inputs
(+.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (*.f64 #s(literal 2 binary64) a)) (/.f64 b (*.f64 #s(literal -2 binary64) a)))
(/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (*.f64 #s(literal 2 binary64) a))
(sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))
(fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))
(/.f64 (neg.f64 c) b)
(neg.f64 c)
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) c) b)) (*.f64 #s(literal 2 binary64) a))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) c) b))
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) c) b)
(*.f64 (*.f64 #s(literal -2 binary64) a) c)
(*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -4 binary64) #s(literal 1 binary64)) b)
(+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -4 binary64) #s(literal 1 binary64)) b) b))))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -4 binary64) #s(literal 1 binary64)) b) b)))) (*.f64 #s(literal 2 binary64) a))
(neg.f64 b)
(exp.f64 (log.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))))
(+.f64 (neg.f64 b) (exp.f64 (log.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))))))
(/.f64 (+.f64 (neg.f64 b) (exp.f64 (log.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))))) (*.f64 #s(literal 2 binary64) a))
(*.f64 #s(literal -2 binary64) a)
(sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -4 binary64) #s(literal 1 binary64)) b) b)))
(*.f64 a (/.f64 c b))
(*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -4 binary64) #s(literal 1 binary64)) b) b)
(sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))
#s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))
Outputs
(/ (+ (* -1/2 b) (* 1/2 b)) a)
(/ (+ (* -1 (/ (* a c) b)) (+ (* -1/2 b) (* 1/2 b))) a)
(/ (+ (* -1/2 b) (+ (* 1/2 b) (* a (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))))) a)
(/ (+ (* -1/2 b) (+ (* 1/2 b) (* a (+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))))) a)
(* 1/2 (/ b a))
(/ (+ (* -1 (/ (* a c) b)) (* 1/2 b)) a)
(/ (+ (* 1/2 b) (* a (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))))) a)
(/ (+ (* 1/2 b) (* a (+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))))) a)
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))))))))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(* -1 (/ c b))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))
(* -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))))))))
(* -2 (* a c))
(+ b (* -4 (/ (* a c) b)))
(* -2 a)
(/ (* a c) b)
(* 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)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
(+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
(+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/32 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
(* (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))))))
(* -4 (* a c))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* 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)))
(* -4 (/ (* a c) b))
(* a (+ (* -4 (/ c b)) (/ b a)))
(* a (- (/ (pow b 2) a) (* 4 c)))
(* -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 (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1))))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (+ (* -1/1024 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))))))
(* -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))))))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(* -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))))))
(* -1 (* a (+ (* -1 (/ b a)) (* 4 (/ c b)))))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))
(+ (* 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 (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* (pow b 2) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* (pow b 2) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/32 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))
(+ (* 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)))))))))
(+ (* -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)))
(/ (+ (* -4 (* a c)) (pow b 2)) b)
(* -1 b)
(- (pow b 2) (* 4 (* a c)))
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* b (+ (* -1 (/ c (pow b 2))) (* 1/2 (/ 1 a))))
(* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (* 1/2 (/ 1 a)))))
(* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (* 1/2 (/ 1 a))))))
(* 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)))))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(/ (+ (* -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)
(* b (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* -1 (/ b a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))
(* -1/2 (/ b a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (* 1/2 (/ 1 a)))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (* 1/2 (/ 1 a))))))
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (* 1/2 (/ 1 a)))))))
(* -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))))))))
(* -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))))))))
(* -1 (* b (- (* 4 (/ (* a c) (pow b 2))) 1)))
(+ (* -1/2 (/ b a)) (* 1/2 (/ b a)))
(+ (* -1 (/ c b)) (+ (* -1/2 (/ b a)) (* 1/2 (/ b a))))
(+ (* -1/2 (/ b a)) (+ (* 1/2 (/ b a)) (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))))
(+ (* -1/2 (/ b a)) (+ (* 1/2 (/ b a)) (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))))
(+ (* -1 (/ c b)) (* 1/2 (/ b a)))
(+ (* 1/2 (/ b a)) (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))))
(+ (* 1/2 (/ b a)) (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 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))))))))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
(* -1 c)
(* 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))))))))
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))
(* c (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(* c (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))
(* c (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/32 (* (sqrt (/ 1 (* (pow a 7) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* 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))))))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(* 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)))
(* c (+ (* -4 (/ a b)) (/ b c)))
(* c (- (/ (pow b 2) c) (* 4 a)))
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))
(* -1 (* c (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/1024 (* (sqrt (/ 1 (* (pow a 7) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* (sqrt (/ 1 (* 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 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(* -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))))))
(* -1 (* c (+ (* -1 (/ b c)) (* 4 (/ a b)))))
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))
Calls

9 calls:

TimeVariablePointExpression
8.0ms
a
@-inf
((+ (/ (sqrt (+ (* a (* -4 c)) (* b b))) (* 2 a)) (/ b (* -2 a))) (/ (sqrt (+ (* a (* -4 c)) (* b b))) (* 2 a)) (sqrt (+ (* a (* -4 c)) (* b b))) (+ (* a (* -4 c)) (* b b)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (neg c) b) (neg c) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/ (* (* -2 a) c) b) (* (* -2 a) c) (* (+ (* (/ (* a (/ c b)) b) -4) 1) b) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg b) (exp (log (sqrt (- (* b b) (* (* 4 a) c))))) (+ (neg b) (exp (log (sqrt (- (* b b) (* (* 4 a) c)))))) (/ (+ (neg b) (exp (log (sqrt (- (* b b) (* (* 4 a) c)))))) (* 2 a)) (* -2 a) (sqrt (- (* b b) (* (* 4 a) c))) (* a (/ c b)) (* (* (+ (* (/ (* a (/ c b)) b) -4) 1) b) b) (sqrt (- (* b b) (* (* 4 a) c))) (- (* b b) (* (* 4 a) c)))
8.0ms
b
@0
((+ (/ (sqrt (+ (* a (* -4 c)) (* b b))) (* 2 a)) (/ b (* -2 a))) (/ (sqrt (+ (* a (* -4 c)) (* b b))) (* 2 a)) (sqrt (+ (* a (* -4 c)) (* b b))) (+ (* a (* -4 c)) (* b b)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (neg c) b) (neg c) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/ (* (* -2 a) c) b) (* (* -2 a) c) (* (+ (* (/ (* a (/ c b)) b) -4) 1) b) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg b) (exp (log (sqrt (- (* b b) (* (* 4 a) c))))) (+ (neg b) (exp (log (sqrt (- (* b b) (* (* 4 a) c)))))) (/ (+ (neg b) (exp (log (sqrt (- (* b b) (* (* 4 a) c)))))) (* 2 a)) (* -2 a) (sqrt (- (* b b) (* (* 4 a) c))) (* a (/ c b)) (* (* (+ (* (/ (* a (/ c b)) b) -4) 1) b) b) (sqrt (- (* b b) (* (* 4 a) c))) (- (* b b) (* (* 4 a) c)))
4.0ms
c
@-inf
((+ (/ (sqrt (+ (* a (* -4 c)) (* b b))) (* 2 a)) (/ b (* -2 a))) (/ (sqrt (+ (* a (* -4 c)) (* b b))) (* 2 a)) (sqrt (+ (* a (* -4 c)) (* b b))) (+ (* a (* -4 c)) (* b b)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (neg c) b) (neg c) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/ (* (* -2 a) c) b) (* (* -2 a) c) (* (+ (* (/ (* a (/ c b)) b) -4) 1) b) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg b) (exp (log (sqrt (- (* b b) (* (* 4 a) c))))) (+ (neg b) (exp (log (sqrt (- (* b b) (* (* 4 a) c)))))) (/ (+ (neg b) (exp (log (sqrt (- (* b b) (* (* 4 a) c)))))) (* 2 a)) (* -2 a) (sqrt (- (* b b) (* (* 4 a) c))) (* a (/ c b)) (* (* (+ (* (/ (* a (/ c b)) b) -4) 1) b) b) (sqrt (- (* b b) (* (* 4 a) c))) (- (* b b) (* (* 4 a) c)))
4.0ms
c
@inf
((+ (/ (sqrt (+ (* a (* -4 c)) (* b b))) (* 2 a)) (/ b (* -2 a))) (/ (sqrt (+ (* a (* -4 c)) (* b b))) (* 2 a)) (sqrt (+ (* a (* -4 c)) (* b b))) (+ (* a (* -4 c)) (* b b)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (neg c) b) (neg c) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/ (* (* -2 a) c) b) (* (* -2 a) c) (* (+ (* (/ (* a (/ c b)) b) -4) 1) b) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg b) (exp (log (sqrt (- (* b b) (* (* 4 a) c))))) (+ (neg b) (exp (log (sqrt (- (* b b) (* (* 4 a) c)))))) (/ (+ (neg b) (exp (log (sqrt (- (* b b) (* (* 4 a) c)))))) (* 2 a)) (* -2 a) (sqrt (- (* b b) (* (* 4 a) c))) (* a (/ c b)) (* (* (+ (* (/ (* a (/ c b)) b) -4) 1) b) b) (sqrt (- (* b b) (* (* 4 a) c))) (- (* b b) (* (* 4 a) c)))
4.0ms
a
@inf
((+ (/ (sqrt (+ (* a (* -4 c)) (* b b))) (* 2 a)) (/ b (* -2 a))) (/ (sqrt (+ (* a (* -4 c)) (* b b))) (* 2 a)) (sqrt (+ (* a (* -4 c)) (* b b))) (+ (* a (* -4 c)) (* b b)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (neg c) b) (neg c) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/ (* (* -2 a) c) b) (* (* -2 a) c) (* (+ (* (/ (* a (/ c b)) b) -4) 1) b) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg b) (exp (log (sqrt (- (* b b) (* (* 4 a) c))))) (+ (neg b) (exp (log (sqrt (- (* b b) (* (* 4 a) c)))))) (/ (+ (neg b) (exp (log (sqrt (- (* b b) (* (* 4 a) c)))))) (* 2 a)) (* -2 a) (sqrt (- (* b b) (* (* 4 a) c))) (* a (/ c b)) (* (* (+ (* (/ (* a (/ c b)) b) -4) 1) b) b) (sqrt (- (* b b) (* (* 4 a) c))) (- (* b b) (* (* 4 a) c)))

simplify196.0ms (2.5%)

Memory
-12.7MiB live, 320.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06654158
123744081
088773888
Stop Event
iter limit
node limit
Counts
151 → 150
Calls
Call 1
Inputs
(/ (+ (* -1/2 b) (* 1/2 b)) a)
(/ (+ (* -1 (/ (* a c) b)) (+ (* -1/2 b) (* 1/2 b))) a)
(/ (+ (* -1/2 b) (+ (* 1/2 b) (* a (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))))) a)
(/ (+ (* -1/2 b) (+ (* 1/2 b) (* a (+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))))) a)
(* 1/2 (/ b a))
(/ (+ (* -1 (/ (* a c) b)) (* 1/2 b)) a)
(/ (+ (* 1/2 b) (* a (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))))) a)
(/ (+ (* 1/2 b) (* a (+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))))) a)
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))))))))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(* -1 (/ c b))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))
(* -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))))))))
(* -2 (* a c))
(+ b (* -4 (/ (* a c) b)))
(* -2 a)
(/ (* a c) b)
(* 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)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
(+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
(+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/32 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
(* (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))))))
(* -4 (* a c))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* 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)))
(* -4 (/ (* a c) b))
(* a (+ (* -4 (/ c b)) (/ b a)))
(* a (- (/ (pow b 2) a) (* 4 c)))
(* -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 (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1))))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (+ (* -1/1024 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))))))
(* -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))))))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(* -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))))))
(* -1 (* a (+ (* -1 (/ b a)) (* 4 (/ c b)))))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))
(+ (* 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 (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* (pow b 2) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* (pow b 2) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/32 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))
(+ (* 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)))))))))
(+ (* -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)))
(/ (+ (* -4 (* a c)) (pow b 2)) b)
(* -1 b)
(- (pow b 2) (* 4 (* a c)))
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* b (+ (* -1 (/ c (pow b 2))) (* 1/2 (/ 1 a))))
(* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (* 1/2 (/ 1 a)))))
(* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (* 1/2 (/ 1 a))))))
(* 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)))))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(/ (+ (* -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)
(* b (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* -1 (/ b a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))
(* -1/2 (/ b a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (* 1/2 (/ 1 a)))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (* 1/2 (/ 1 a))))))
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (* 1/2 (/ 1 a)))))))
(* -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))))))))
(* -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))))))))
(* -1 (* b (- (* 4 (/ (* a c) (pow b 2))) 1)))
(+ (* -1/2 (/ b a)) (* 1/2 (/ b a)))
(+ (* -1 (/ c b)) (+ (* -1/2 (/ b a)) (* 1/2 (/ b a))))
(+ (* -1/2 (/ b a)) (+ (* 1/2 (/ b a)) (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))))
(+ (* -1/2 (/ b a)) (+ (* 1/2 (/ b a)) (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))))
(+ (* -1 (/ c b)) (* 1/2 (/ b a)))
(+ (* 1/2 (/ b a)) (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))))
(+ (* 1/2 (/ b a)) (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 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))))))))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
(* -1 c)
(* 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))))))))
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))
(* c (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(* c (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))
(* c (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/32 (* (sqrt (/ 1 (* (pow a 7) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* 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))))))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(* 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)))
(* c (+ (* -4 (/ a b)) (/ b c)))
(* c (- (/ (pow b 2) c) (* 4 a)))
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))
(* -1 (* c (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/1024 (* (sqrt (/ 1 (* (pow a 7) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* (sqrt (/ 1 (* 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 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(* -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))))))
(* -1 (* c (+ (* -1 (/ b c)) (* 4 (/ a b)))))
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))
Outputs
(/ (+ (* -1/2 b) (* 1/2 b)) a)
#s(literal 0 binary64)
(/ (+ (* -1 (/ (* a c) b)) (+ (* -1/2 b) (* 1/2 b))) a)
(/.f64 (fma.f64 (neg.f64 a) (/.f64 c b) #s(literal 0 binary64)) a)
(/ (+ (* -1/2 b) (+ (* 1/2 b) (* a (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))))) a)
(/.f64 (fma.f64 (neg.f64 (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 c b))) a #s(literal 0 binary64)) a)
(/ (+ (* -1/2 b) (+ (* 1/2 b) (* a (+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))))) a)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 (neg.f64 c) c) (pow.f64 b #s(literal 3 binary64)))) a (/.f64 (neg.f64 c) b)) a #s(literal 0 binary64)) a)
(* 1/2 (/ b a))
(*.f64 (/.f64 b a) #s(literal 1/2 binary64))
(/ (+ (* -1 (/ (* a c) b)) (* 1/2 b)) a)
(/.f64 (fma.f64 (neg.f64 a) (/.f64 c b) (*.f64 #s(literal 1/2 binary64) b)) a)
(/ (+ (* 1/2 b) (* a (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))))) a)
(/.f64 (fma.f64 (neg.f64 (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 c b))) a (*.f64 #s(literal 1/2 binary64) b)) a)
(/ (+ (* 1/2 b) (* a (+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))))) a)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 (neg.f64 c) c) (pow.f64 b #s(literal 3 binary64)))) a (/.f64 (neg.f64 c) b)) a (*.f64 #s(literal 1/2 binary64) b)) a)
b
(+ b (* -2 (/ (* a c) b)))
(fma.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 c b) b)
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(fma.f64 (*.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 c b))) a b)
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(fma.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b #s(literal 5 binary64))) (*.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 c b)))) a b)
(pow b 2)
(*.f64 b b)
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))
(* -1 (/ c b))
(/.f64 (neg.f64 c) b)
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(neg.f64 (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 c b)))
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))
(fma.f64 (fma.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 (neg.f64 c) c) (pow.f64 b #s(literal 3 binary64)))) a (/.f64 (neg.f64 c) b))
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 20 binary64) a)) b) #s(literal -1/4 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 (neg.f64 c) c) (pow.f64 b #s(literal 3 binary64)))) a (/.f64 (neg.f64 c) b))
(* -2 (/ (* a c) b))
(*.f64 #s(literal -2 binary64) (/.f64 (*.f64 c a) b))
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))
(*.f64 (*.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 c b))) a)
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))
(*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b #s(literal 5 binary64))) (*.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 c b)))) a)
(* 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 (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 20 binary64) a)) b) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -4 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) c) c) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -2 binary64) (/.f64 c b))) a)
(* -2 (* a c))
(*.f64 #s(literal -2 binary64) (*.f64 c a))
(+ b (* -4 (/ (* a c) b)))
(fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 c a) b) b)
(* -2 a)
(*.f64 #s(literal -2 binary64) a)
(/ (* a c) b)
(/.f64 (*.f64 c a) b)
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 c a)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 b a) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)))))
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
(fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 b a) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a))))))
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
(fma.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64)))) (fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 b a) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)))))))
(+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 c a))))
(+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
(fma.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64)))) (fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 c a)))))
(+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/32 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
(fma.f64 (*.f64 #s(literal 1/32 binary64) (/.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 a #s(literal 7 binary64))) (pow.f64 c #s(literal 5 binary64)))) (fma.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64)))) (fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 c a))))))
(* (sqrt (* a c)) (sqrt -4))
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))
(*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)))) 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)))))
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64)))) (fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a))))) a)
(* 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 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 1/16 binary64) (/.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 a #s(literal 7 binary64))) (pow.f64 c #s(literal 5 binary64)))) (fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)))))) a)
(* -4 (* a c))
(*.f64 #s(literal -4 binary64) (*.f64 c a))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(*.f64 (fma.f64 #s(literal -4 binary64) c (/.f64 (*.f64 b b) a)) a)
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(*.f64 (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (neg.f64 b) a)) a)
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a)))
(*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) #s(literal 1/2 binary64) (-.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a))) (/.f64 b a))) 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 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64)))) (fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) #s(literal 1/2 binary64) (-.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a))) (/.f64 b a)))) a)
(* -4 (/ (* a c) b))
(*.f64 #s(literal -4 binary64) (/.f64 (*.f64 c a) b))
(* a (+ (* -4 (/ c b)) (/ b a)))
(*.f64 (fma.f64 #s(literal -4 binary64) (/.f64 c b) (/.f64 b a)) a)
(* a (- (/ (pow b 2) a) (* 4 c)))
(*.f64 (fma.f64 #s(literal -4 binary64) c (/.f64 (*.f64 b b) a)) a)
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
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(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(*.f64 (neg.f64 c) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64)))) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/8 binary64)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) c))) (pow.f64 b #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/128 binary64)))) (neg.f64 c))) (neg.f64 c))))
(* -1 (* c (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(*.f64 (neg.f64 c) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 c a) #s(literal 3 binary64)))) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/8 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -1 binary64)))))
(* -1 (* c (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))
(*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal -1/128 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 5 binary64)))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 c a) #s(literal 3 binary64)))) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/8 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -1 binary64))))))
(* -1 (* c (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/1024 (* (sqrt (/ 1 (* (pow a 7) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))))
(*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal 1/1024 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 6 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64))) (pow.f64 c #s(literal 7 binary64)))) (fma.f64 (*.f64 #s(literal -1/128 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 5 binary64)))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 c a) #s(literal 3 binary64)))) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/8 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -1 binary64)))))))
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64)))))
(* -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 (neg.f64 c) (fma.f64 (*.f64 #s(literal -1/64 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 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 (neg.f64 c) (fma.f64 (*.f64 #s(literal -1/64 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (fma.f64 (*.f64 #s(literal 1/512 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 6 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 7 binary64)))) (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64)))))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(*.f64 (neg.f64 c) (fma.f64 #s(literal 4 binary64) a (/.f64 (*.f64 (neg.f64 b) b) c)))
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))
(*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c)) (/.f64 b c)))
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c)) (/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/4 binary64))) b) (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 (neg.f64 c) (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c)) (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (pow.f64 b #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/64 binary64)) (*.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64)))) (neg.f64 c)) b) (neg.f64 c))))
(* -1 (* c (+ (* -1 (/ b c)) (* 4 (/ a b)))))
(*.f64 (neg.f64 c) (fma.f64 (/.f64 a b) #s(literal 4 binary64) (/.f64 (neg.f64 b) c)))
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))
(*.f64 (neg.f64 c) (fma.f64 #s(literal 4 binary64) a (/.f64 (*.f64 (neg.f64 b) b) c)))

rewrite251.0ms (3.2%)

Memory
-24.1MiB live, 413.6MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
050341
081335
1257321
21962321
08351321
Stop Event
iter limit
node limit
iter limit
Counts
24 → 690
Calls
Call 1
Inputs
(+.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (*.f64 #s(literal 2 binary64) a)) (/.f64 b (*.f64 #s(literal -2 binary64) a)))
(/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (*.f64 #s(literal 2 binary64) a))
(sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))
(fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))
(/.f64 (neg.f64 c) b)
(neg.f64 c)
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) c) b)) (*.f64 #s(literal 2 binary64) a))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) c) b))
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) c) b)
(*.f64 (*.f64 #s(literal -2 binary64) a) c)
(*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -4 binary64) #s(literal 1 binary64)) b)
(+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -4 binary64) #s(literal 1 binary64)) b) b))))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -4 binary64) #s(literal 1 binary64)) b) b)))) (*.f64 #s(literal 2 binary64) a))
(neg.f64 b)
(exp.f64 (log.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))))
(+.f64 (neg.f64 b) (exp.f64 (log.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))))))
(/.f64 (+.f64 (neg.f64 b) (exp.f64 (log.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))))) (*.f64 #s(literal 2 binary64) a))
(*.f64 #s(literal -2 binary64) a)
(sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -4 binary64) #s(literal 1 binary64)) b) b)))
(*.f64 a (/.f64 c b))
(*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -4 binary64) #s(literal 1 binary64)) b) b)
(sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))
#s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))
Outputs
(*.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)))
(*.f64 (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)))
(*.f64 (/.f64 (fma.f64 b b (+.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) (*.f64 b (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))))) (fma.f64 b b (+.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) (*.f64 b (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)))
(/.f64 (+.f64 (/.f64 (neg.f64 b) a) (/.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) a)) #s(literal 2 binary64))
(/.f64 (+.f64 (neg.f64 (/.f64 b #s(literal -2 binary64))) (neg.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) #s(literal 2 binary64)))) (neg.f64 a))
(/.f64 (+.f64 (neg.f64 b) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (+.f64 b (neg.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))) (*.f64 #s(literal -2 binary64) a))
(/.f64 (+.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) a) (/.f64 (neg.f64 b) a)) #s(literal 2 binary64))
(/.f64 (+.f64 (neg.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) #s(literal 2 binary64))) (neg.f64 (/.f64 b #s(literal -2 binary64)))) (neg.f64 a))
(/.f64 (+.f64 (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a))
(/.f64 (+.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) b) (*.f64 #s(literal -2 binary64) a))
(/.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) a)) #s(literal -2 binary64))
(/.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) a) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) (*.f64 (*.f64 #s(literal 2 binary64) a) b)) (*.f64 #s(literal 2 binary64) a))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (neg.f64 (/.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) (pow.f64 (*.f64 #s(literal -2 binary64) a) #s(literal 2 binary64)))) (neg.f64 (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a))))
(/.f64 (neg.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) #s(literal 2 binary64)))) (neg.f64 (neg.f64 a)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))))) (*.f64 #s(literal -2 binary64) a))
(/.f64 (neg.f64 (neg.f64 (/.f64 (-.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) (*.f64 b b)) (pow.f64 (*.f64 #s(literal -2 binary64) a) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a)))))
(/.f64 (neg.f64 (neg.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (*.f64 #s(literal 8 binary64) (pow.f64 a #s(literal 3 binary64)))))) (neg.f64 (neg.f64 (fma.f64 (/.f64 (/.f64 b a) #s(literal -2 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) (pow.f64 (*.f64 #s(literal -2 binary64) a) #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -2 binary64) a) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) (*.f64 (*.f64 #s(literal 2 binary64) a) b)))) (neg.f64 (neg.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) a) a) #s(literal -2 binary64)))))
(/.f64 (neg.f64 (fma.f64 (/.f64 b #s(literal -2 binary64)) a (*.f64 a (/.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) #s(literal 2 binary64))))) (neg.f64 (*.f64 a a)))
(/.f64 (neg.f64 (fma.f64 (/.f64 b #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) a) (*.f64 a (neg.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))))) (neg.f64 (*.f64 a (*.f64 #s(literal -2 binary64) a))))
(/.f64 (neg.f64 (fma.f64 (/.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) a) (*.f64 a (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))))) (neg.f64 (*.f64 a (*.f64 #s(literal 2 binary64) a))))
(/.f64 (neg.f64 (fma.f64 (neg.f64 b) a (*.f64 (*.f64 #s(literal 2 binary64) a) (/.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) #s(literal 2 binary64))))) (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) a) a)))
(/.f64 (neg.f64 (fma.f64 (neg.f64 b) (*.f64 #s(literal -2 binary64) a) (*.f64 (*.f64 #s(literal 2 binary64) a) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))))) (neg.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) a) a) #s(literal -2 binary64))))
(/.f64 (neg.f64 (fma.f64 b a (*.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) #s(literal 2 binary64))))) (neg.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) a)))
(/.f64 (neg.f64 (fma.f64 b (*.f64 #s(literal -2 binary64) a) (*.f64 (*.f64 #s(literal -2 binary64) a) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))))) (neg.f64 (pow.f64 (*.f64 #s(literal -2 binary64) a) #s(literal 2 binary64))))
(/.f64 (neg.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) #s(literal 2 binary64)) a (*.f64 a (/.f64 b #s(literal -2 binary64))))) (neg.f64 (*.f64 a a)))
(/.f64 (neg.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) a) (*.f64 a (neg.f64 b)))) (neg.f64 (*.f64 a (*.f64 #s(literal 2 binary64) a))))
(/.f64 (neg.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) a) (*.f64 a b))) (neg.f64 (*.f64 a (*.f64 #s(literal -2 binary64) a))))
(/.f64 (neg.f64 (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) a (*.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 b #s(literal -2 binary64))))) (neg.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) a)))
(/.f64 (neg.f64 (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a) (*.f64 (*.f64 #s(literal -2 binary64) a) (neg.f64 b)))) (neg.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) a) a) #s(literal -2 binary64))))
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(/.f64 (*.f64 (fma.f64 (pow.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal 3 binary64)) #s(literal -64 binary64) #s(literal 1 binary64)) (*.f64 b b)) (fma.f64 (pow.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal -4 binary64)))))
(*.f64 (neg.f64 (pow.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)) #s(literal 1/4 binary64))))
(*.f64 (fabs.f64 (pow.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)) #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)) #s(literal 1/4 binary64))))
(*.f64 (sqrt.f64 (neg.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))))) (sqrt.f64 (neg.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))))))
(*.f64 (sqrt.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) (sqrt.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)) #s(literal 1/4 binary64)) (pow.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)) #s(literal 1/4 binary64)))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))))
(pow.f64 (pow.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))) #s(literal 1 binary64))
(pow.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)) #s(literal 1/2 binary64))
(/.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 (log.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))))) (*.f64 #s(literal 2 binary64) (cosh.f64 (log.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))))))) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (log.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))))) (*.f64 #s(literal 2 binary64) (sinh.f64 (log.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))))))) #s(literal 2 binary64))
(/.f64 (neg.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (log.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))))) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (log.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))))) #s(literal 2 binary64)) (*.f64 (cosh.f64 (log.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))))) (sinh.f64 (log.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))))))))))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (log.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (log.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (log.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (log.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))))))) #s(literal 4 binary64))
(/.f64 (fabs.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (log.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))))) #s(literal 3 binary64)))) (fabs.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))))) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (log.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))))) #s(literal 2 binary64)) (*.f64 (cosh.f64 (log.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))))) (sinh.f64 (log.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (log.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))))) #s(literal 3 binary64))) (+.f64 (pow.f64 (cosh.f64 (log.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))))) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (log.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))))) #s(literal 2 binary64)) (*.f64 (cosh.f64 (log.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))))) (sinh.f64 (log.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))))))))
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))))
(sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))
(-.f64 (/.f64 (pow.f64 (cosh.f64 (log.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))))) (/.f64 (pow.f64 (sinh.f64 (log.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))))))
(fabs.f64 (neg.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))))
(fabs.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))))
(exp.f64 (/.f64 (log.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))) #s(literal 2 binary64)))
(exp.f64 (log.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))))
(+.f64 (sinh.f64 (log.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))))) (cosh.f64 (log.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))))))
(+.f64 (cosh.f64 (log.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))))) (sinh.f64 (log.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))))))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))))) (neg.f64 (neg.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))))))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) #s(literal 1 binary64)))
(*.f64 (neg.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) (neg.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))))
(*.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))))
(pow.f64 (neg.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) #s(literal 2 binary64))
(pow.f64 (pow.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))) #s(literal 2 binary64))
(pow.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)) #s(literal 1 binary64))
#s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))
(fma.f64 (cosh.f64 (log.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))))) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))) (*.f64 (sinh.f64 (log.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))))) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))))
(fma.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))) (cosh.f64 (log.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))))) (*.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))) (sinh.f64 (log.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))))))
(sqrt.f64 (pow.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)) #s(literal 2 binary64)))
(fabs.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))
(exp.f64 (*.f64 (log.f64 (pow.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))) #s(literal 1 binary64)))
(exp.f64 (log.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))))
(+.f64 (cosh.f64 (log.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) (sinh.f64 (log.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))))
(+.f64 (*.f64 (cosh.f64 (log.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))))) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) (*.f64 (sinh.f64 (log.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))))) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))))
(+.f64 (*.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))) (cosh.f64 (log.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))))) (*.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))) (sinh.f64 (log.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))))))

eval108.0ms (1.4%)

Memory
35.1MiB live, 265.0MiB allocated
Compiler

Compiled 31 640 to 3 248 computations (89.7% saved)

prune37.0ms (0.5%)

Memory
-31.2MiB live, 115.6MiB allocated
Pruning

24 alts after pruning (20 fresh and 4 done)

PrunedKeptTotal
New80711818
Fresh3912
Picked325
Done123
Total81424838
Accuracy
91.4%
Counts
838 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
53.3%
(fma.f64 (/.f64 (pow.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) #s(literal 1/4 binary64)) a) (/.f64 (pow.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (/.f64 b (*.f64 #s(literal -2 binary64) a)))
41.0%
(fma.f64 (/.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) a) (*.f64 (*.f64 #s(literal 2 binary64) a) #s(literal -2 binary64))) (/.f64 #s(literal -2 binary64) a) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 a b) (*.f64 a (*.f64 #s(literal -2 binary64) a)))))
37.7%
(/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) a) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) (*.f64 (*.f64 #s(literal 2 binary64) a) b)) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) a) a) #s(literal -2 binary64)))
29.1%
(/.f64 (/.f64 (-.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) (*.f64 b b)) (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a))
23.6%
(/.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)))
26.3%
(/.f64 (+.f64 (neg.f64 b) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))))) (*.f64 #s(literal 2 binary64) a))
54.6%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a))
36.0%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a))
45.2%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(approx (* (+ (* (/ (* a (/ c b)) b) -4) 1) b) (*.f64 (fma.f64 #s(literal -4 binary64) (/.f64 c b) (/.f64 b a)) a)) b)))) (*.f64 #s(literal 2 binary64) a))
22.4%
(/.f64 (+.f64 (neg.f64 b) (exp.f64 (log.f64 (sqrt.f64 (fma.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))) (cosh.f64 (log.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))))) (*.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))) (sinh.f64 (log.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))))))))))) (*.f64 #s(literal 2 binary64) a))
51.0%
(/.f64 (+.f64 (neg.f64 b) (exp.f64 (log.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))) (*.f64 #s(literal 2 binary64) a))
26.5%
(/.f64 (+.f64 (neg.f64 b) (exp.f64 (log.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))))) (*.f64 #s(literal 2 binary64) a))
25.6%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (*.f64 (*.f64 c a) #s(literal -2 binary64)) b)) (*.f64 #s(literal 2 binary64) a))
35.2%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (fma.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 (/.f64 c b) b) #s(literal 2 binary64)) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a))
24.3%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 a (/.f64 #s(literal -2 binary64) b)) c)) (*.f64 #s(literal 2 binary64) a))
8.3%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (+ (* (/ (* a (/ c b)) b) -2) 2) (neg b)) (*.f64 (*.f64 a (/.f64 c b)) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) a))
36.0%
(+.f64 (/.f64 (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 c a)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 b (*.f64 #s(literal -2 binary64) a)))
5.5%
(+.f64 #s(approx (/ (sqrt (+ (* a (* -4 c)) (* b b))) (* 2 a)) (*.f64 (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) a)) b)) (/.f64 b (*.f64 #s(literal -2 binary64) a)))
32.1%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))
35.4%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a))
30.0%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (-.f64 (*.f64 (neg.f64 c) (/.f64 a (pow.f64 b #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) b)) c))
35.2%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (fma.f64 (/.f64 (neg.f64 c) (*.f64 b b)) b (/.f64 b a))))
28.3%
#s(approx (+ (/ (sqrt (+ (* a (* -4 c)) (* b b))) (* 2 a)) (/ b (* -2 a))) (/.f64 (fma.f64 (neg.f64 a) (/.f64 c b) #s(literal 0 binary64)) a))
8.6%
#s(approx (+ (/ (sqrt (+ (* a (* -4 c)) (* b b))) (* 2 a)) (/ b (* -2 a))) #s(literal 0 binary64))
Compiler

Compiled 1 325 to 879 computations (33.7% saved)

simplify182.0ms (2.3%)

Memory
10.0MiB live, 248.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))
cost-diff0
(*.f64 b b)
cost-diff5
(/.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)))
cost-diff7
(-.f64 (*.f64 b b) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))
cost-diff0
(fma.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 (/.f64 c b) b) #s(literal 2 binary64))
cost-diff0
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (fma.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 (/.f64 c b) b) #s(literal 2 binary64)) (neg.f64 b)))
cost-diff0
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (fma.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 (/.f64 c b) b) #s(literal 2 binary64)) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a))
cost-diff1
(*.f64 (fma.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 (/.f64 c b) b) #s(literal 2 binary64)) (neg.f64 b))
cost-diff0
(*.f64 a (/.f64 #s(literal -2 binary64) b))
cost-diff0
(*.f64 (*.f64 a (/.f64 #s(literal -2 binary64) b)) c)
cost-diff0
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 a (/.f64 #s(literal -2 binary64) b)) c))
cost-diff0
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 a (/.f64 #s(literal -2 binary64) b)) c)) (*.f64 #s(literal 2 binary64) a))
cost-diff0
#s(approx (+ (/ (sqrt (+ (* a (* -4 c)) (* b b))) (* 2 a)) (/ b (* -2 a))) #s(literal 0 binary64))
cost-diff0
(fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))
cost-diff0
(pow.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) #s(literal 1/4 binary64))
cost-diff0
(/.f64 (pow.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) #s(literal 1/4 binary64)) a)
cost-diff14
(fma.f64 (/.f64 (pow.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) #s(literal 1/4 binary64)) a) (/.f64 (pow.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (/.f64 b (*.f64 #s(literal -2 binary64) a)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055388
086388
1159381
2384360
31411350
45713348
08166345
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(fma.f64 (/.f64 (pow.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) #s(literal 1/4 binary64)) a) (/.f64 (pow.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (/.f64 b (*.f64 #s(literal -2 binary64) a)))
(/.f64 (pow.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) #s(literal 1/4 binary64)) a)
(pow.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) #s(literal 1/4 binary64))
(fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))
a
(*.f64 #s(literal -4 binary64) c)
#s(literal -4 binary64)
c
(*.f64 b b)
b
#s(literal 1/4 binary64)
(/.f64 (pow.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 b (*.f64 #s(literal -2 binary64) a))
(*.f64 #s(literal -2 binary64) a)
#s(literal -2 binary64)
#s(approx (+ (/ (sqrt (+ (* a (* -4 c)) (* b b))) (* 2 a)) (/ b (* -2 a))) #s(literal 0 binary64))
#s(literal 0 binary64)
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 a (/.f64 #s(literal -2 binary64) b)) c)) (*.f64 #s(literal 2 binary64) a))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 a (/.f64 #s(literal -2 binary64) b)) c))
(*.f64 (*.f64 a (/.f64 #s(literal -2 binary64) b)) c)
(*.f64 a (/.f64 #s(literal -2 binary64) b))
a
(/.f64 #s(literal -2 binary64) b)
#s(literal -2 binary64)
b
c
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (fma.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 (/.f64 c b) b) #s(literal 2 binary64)) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (fma.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 (/.f64 c b) b) #s(literal 2 binary64)) (neg.f64 b)))
(*.f64 (fma.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 (/.f64 c b) b) #s(literal 2 binary64)) (neg.f64 b))
(fma.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 (/.f64 c b) b) #s(literal 2 binary64))
(*.f64 #s(literal -2 binary64) a)
#s(literal -2 binary64)
a
(/.f64 (/.f64 c b) b)
(/.f64 c b)
c
b
#s(literal 2 binary64)
(neg.f64 b)
(*.f64 #s(literal 2 binary64) a)
(/.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)))
(-.f64 (*.f64 b b) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))
(*.f64 b b)
b
(fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))
(*.f64 c #s(literal -4 binary64))
c
#s(literal -4 binary64)
a
(*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a))
(-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))
(neg.f64 b)
(sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)
Outputs
(fma.f64 (/.f64 (pow.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) #s(literal 1/4 binary64)) a) (/.f64 (pow.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (/.f64 b (*.f64 #s(literal -2 binary64) a)))
(/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a))
(/.f64 (pow.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) #s(literal 1/4 binary64)) a)
(/.f64 (pow.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) #s(literal 1/4 binary64)) a)
(pow.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) #s(literal 1/4 binary64))
(pow.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) #s(literal 1/4 binary64))
(fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))
(fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))
a
(*.f64 #s(literal -4 binary64) c)
(*.f64 c #s(literal -4 binary64))
#s(literal -4 binary64)
c
(*.f64 b b)
b
#s(literal 1/4 binary64)
(/.f64 (pow.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(/.f64 (pow.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 b (*.f64 #s(literal -2 binary64) a))
(*.f64 #s(literal -2 binary64) a)
#s(literal -2 binary64)
#s(approx (+ (/ (sqrt (+ (* a (* -4 c)) (* b b))) (* 2 a)) (/ b (* -2 a))) #s(literal 0 binary64))
#s(literal 0 binary64)
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 a (/.f64 #s(literal -2 binary64) b)) c)) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 (/.f64 #s(literal -2 binary64) b) a) c)) (*.f64 #s(literal 2 binary64) a))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 a (/.f64 #s(literal -2 binary64) b)) c))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 (/.f64 #s(literal -2 binary64) b) a) c))
(*.f64 (*.f64 a (/.f64 #s(literal -2 binary64) b)) c)
(*.f64 (*.f64 (/.f64 #s(literal -2 binary64) b) a) c)
(*.f64 a (/.f64 #s(literal -2 binary64) b))
(*.f64 (/.f64 #s(literal -2 binary64) b) a)
a
(/.f64 #s(literal -2 binary64) b)
#s(literal -2 binary64)
b
c
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (fma.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 (/.f64 c b) b) #s(literal 2 binary64)) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (fma.f64 (*.f64 (/.f64 (/.f64 c b) b) a) #s(literal 2 binary64) #s(literal -2 binary64)) b)) (*.f64 #s(literal 2 binary64) a))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (fma.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 (/.f64 c b) b) #s(literal 2 binary64)) (neg.f64 b)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (fma.f64 (*.f64 (/.f64 (/.f64 c b) b) a) #s(literal 2 binary64) #s(literal -2 binary64)) b))
(*.f64 (fma.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 (/.f64 c b) b) #s(literal 2 binary64)) (neg.f64 b))
(*.f64 (fma.f64 (*.f64 (/.f64 (/.f64 c b) b) a) #s(literal 2 binary64) #s(literal -2 binary64)) b)
(fma.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 (/.f64 c b) b) #s(literal 2 binary64))
(fma.f64 (/.f64 (/.f64 c b) b) (*.f64 #s(literal -2 binary64) a) #s(literal 2 binary64))
(*.f64 #s(literal -2 binary64) a)
#s(literal -2 binary64)
a
(/.f64 (/.f64 c b) b)
(/.f64 c b)
c
b
#s(literal 2 binary64)
(neg.f64 b)
(*.f64 #s(literal 2 binary64) a)
(/.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)))
(/.f64 (*.f64 (neg.f64 c) #s(literal -2 binary64)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))))
(-.f64 (*.f64 b b) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))
(*.f64 (*.f64 #s(literal 4 binary64) c) a)
(*.f64 b b)
b
(fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))
(*.f64 c #s(literal -4 binary64))
c
#s(literal -4 binary64)
a
(*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a))
(-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))
(neg.f64 b)
(sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)

localize184.0ms (2.4%)

Memory
16.7MiB live, 358.4MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy12.03181311803895
(-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))
accuracy20.88775395748926
(/.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)))
accuracy25.763415571126153
(sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))
accuracy35.47724349247987
(-.f64 (*.f64 b b) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))
accuracy2.5563286436102928
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (fma.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 (/.f64 c b) b) #s(literal 2 binary64)) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a))
accuracy2.6368464078946148
(fma.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 (/.f64 c b) b) #s(literal 2 binary64))
accuracy4.411329588707295
(*.f64 (fma.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 (/.f64 c b) b) #s(literal 2 binary64)) (neg.f64 b))
accuracy41.3634762888962
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (fma.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 (/.f64 c b) b) #s(literal 2 binary64)) (neg.f64 b)))
accuracy0.19921875
(*.f64 a (/.f64 #s(literal -2 binary64) b))
accuracy2.5563286436102928
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 a (/.f64 #s(literal -2 binary64) b)) c)) (*.f64 #s(literal 2 binary64) a))
accuracy5.288211173891837
(*.f64 (*.f64 a (/.f64 #s(literal -2 binary64) b)) c)
accuracy43.43254829940173
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 a (/.f64 #s(literal -2 binary64) b)) c))
accuracy58.48140911880117
#s(approx (+ (/ (sqrt (+ (* a (* -4 c)) (* b b))) (* 2 a)) (/ b (* -2 a))) #s(literal 0 binary64))
accuracy0.0078125
(fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))
accuracy0.24609375
(/.f64 (pow.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) #s(literal 1/4 binary64)) a)
accuracy18.732860781499593
(fma.f64 (/.f64 (pow.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) #s(literal 1/4 binary64)) a) (/.f64 (pow.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (/.f64 b (*.f64 #s(literal -2 binary64) a)))
accuracy26.454938277254133
(pow.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) #s(literal 1/4 binary64))
Samples
61.0ms76×2valid
39.0ms67×1valid
34.0ms95×0valid
17.0ms18×3valid
Compiler

Compiled 361 to 49 computations (86.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 108.0ms
ival-mult: 24.0ms (22.3% of total)
adjust: 19.0ms (17.6% of total)
ival-div: 19.0ms (17.6% of total)
ival-pow: 17.0ms (15.8% of total)
ival-add: 12.0ms (11.1% of total)
ival-sqrt: 9.0ms (8.3% of total)
ival-sub: 6.0ms (5.6% of total)
exact: 1.0ms (0.9% of total)
ival-neg: 1.0ms (0.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series60.0ms (0.8%)

Memory
6.0MiB live, 98.7MiB allocated
Counts
19 → 240
Calls
Call 1
Inputs
(fma.f64 (/.f64 (pow.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) #s(literal 1/4 binary64)) a) (/.f64 (pow.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (/.f64 b (*.f64 #s(literal -2 binary64) a)))
(/.f64 (pow.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) #s(literal 1/4 binary64)) a)
(pow.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) #s(literal 1/4 binary64))
(fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))
#s(approx (+ (/ (sqrt (+ (* a (* -4 c)) (* b b))) (* 2 a)) (/ b (* -2 a))) #s(literal 0 binary64))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 a (/.f64 #s(literal -2 binary64) b)) c)) (*.f64 #s(literal 2 binary64) a))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 a (/.f64 #s(literal -2 binary64) b)) c))
(*.f64 (*.f64 a (/.f64 #s(literal -2 binary64) b)) c)
(*.f64 a (/.f64 #s(literal -2 binary64) b))
(*.f64 (fma.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 (/.f64 c b) b) #s(literal 2 binary64)) (neg.f64 b))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (fma.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 (/.f64 c b) b) #s(literal 2 binary64)) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (fma.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 (/.f64 c b) b) #s(literal 2 binary64)) (neg.f64 b)))
(fma.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 (/.f64 c b) b) #s(literal 2 binary64))
(-.f64 (*.f64 b b) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))
(/.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)))
(*.f64 b b)
(fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))
(sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))
(-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))
Outputs
(/ (+ (* -1/2 b) (* 1/2 b)) a)
(/ (+ (* -1 (/ (* a c) b)) (+ (* -1/2 b) (* 1/2 b))) a)
(/ (+ (* -1/2 b) (+ (* 1/2 b) (* a (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))))) a)
(/ (+ (* -1/2 b) (+ (* 1/2 b) (* a (+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))))) a)
(* (pow 1 1/4) (* (/ 1 a) (sqrt b)))
(/ (+ (* -1 (* (pow 1 1/4) (* (* a c) (sqrt (/ 1 (pow b 3)))))) (* (pow 1 1/4) (sqrt b))) a)
(/ (+ (* a (+ (* -1 (* (pow 1 1/4) (* (sqrt (/ 1 (pow b 3))) c))) (* (pow 1 1/4) (* (* a (+ (* -2 (/ (pow c 2) (pow b 4))) (* 1/2 (/ (pow c 2) (pow b 4))))) (sqrt b))))) (* (pow 1 1/4) (sqrt b))) a)
(/ (+ (* a (+ (* -1 (* (pow 1 1/4) (* (sqrt (/ 1 (pow b 3))) c))) (* a (+ (* (pow 1 1/4) (* (sqrt b) (+ (* -2 (/ (pow c 2) (pow b 4))) (* 1/2 (/ (pow c 2) (pow b 4)))))) (* (pow 1 1/4) (* (* a (+ (* -16/3 (/ (pow c 3) (pow b 6))) (+ (* -1/6 (/ (pow c 3) (pow b 6))) (* 2 (/ (pow c 3) (pow b 6)))))) (sqrt b))))))) (* (pow 1 1/4) (sqrt b))) a)
(* (pow 1 1/4) (sqrt b))
(+ (* -1 (* (pow 1 1/4) (* (* a c) (sqrt (/ 1 (pow b 3)))))) (* (pow 1 1/4) (sqrt b)))
(+ (* a (+ (* -1 (* (pow 1 1/4) (* (sqrt (/ 1 (pow b 3))) c))) (* (pow 1 1/4) (* (* a (+ (* -2 (/ (pow c 2) (pow b 4))) (* 1/2 (/ (pow c 2) (pow b 4))))) (sqrt b))))) (* (pow 1 1/4) (sqrt b)))
(+ (* a (+ (* -1 (* (pow 1 1/4) (* (sqrt (/ 1 (pow b 3))) c))) (* a (+ (* (pow 1 1/4) (* (sqrt b) (+ (* -2 (/ (pow c 2) (pow b 4))) (* 1/2 (/ (pow c 2) (pow b 4)))))) (* (pow 1 1/4) (* (* a (+ (* -16/3 (/ (pow c 3) (pow b 6))) (+ (* -1/6 (/ (pow c 3) (pow b 6))) (* 2 (/ (pow c 3) (pow b 6)))))) (sqrt b))))))) (* (pow 1 1/4) (sqrt b)))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(* -1 (/ c b))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))
(* -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))))))))
(* -2 (/ a b))
(* -2 b)
(+ (* -2 b) (* 2 (/ (* a c) b)))
2
(+ 2 (* -2 (/ (* a c) (pow b 2))))
(* 4 (* a c))
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* 2 (* a (+ (* -2 (/ (pow c 4) (pow b 7))) (* -1/2 (/ (pow c 4) (pow b 7)))))))))))
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))))))))
(- (* 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))
(* 1/2 (* (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)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
(/ (exp (* 1/4 (+ (log (* -4 c)) (* -1 (log (/ 1 a)))))) a)
(/ (+ (exp (* 1/4 (+ (log (* -4 c)) (* -1 (log (/ 1 a)))))) (* -1/16 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* -4 c)) (* -1 (log (/ 1 a))))))) (* a c)))) a)
(/ (+ (exp (* 1/4 (+ (log (* -4 c)) (* -1 (log (/ 1 a)))))) (+ (* -1/16 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* -4 c)) (* -1 (log (/ 1 a))))))) (* a c))) (/ (* (exp (* 1/4 (+ (log (* -4 c)) (* -1 (log (/ 1 a)))))) (+ (* -1/128 (/ (pow b 4) (pow c 2))) (* 1/512 (/ (pow b 4) (pow c 2))))) (pow a 2)))) a)
(/ (+ (exp (* 1/4 (+ (log (* -4 c)) (* -1 (log (/ 1 a)))))) (+ (* -1/16 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* -4 c)) (* -1 (log (/ 1 a))))))) (* a c))) (+ (/ (* (exp (* 1/4 (+ (log (* -4 c)) (* -1 (log (/ 1 a)))))) (+ (* -1/128 (/ (pow b 4) (pow c 2))) (* 1/512 (/ (pow b 4) (pow c 2))))) (pow a 2)) (/ (* (exp (* 1/4 (+ (log (* -4 c)) (* -1 (log (/ 1 a)))))) (+ (* -1/768 (/ (pow b 6) (pow c 3))) (+ (* -1/24576 (/ (pow b 6) (pow c 3))) (* 1/2048 (/ (pow b 6) (pow c 3)))))) (pow a 3))))) a)
(exp (* 1/4 (+ (log (* -4 c)) (* -1 (log (/ 1 a))))))
(+ (exp (* 1/4 (+ (log (* -4 c)) (* -1 (log (/ 1 a)))))) (* -1/16 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* -4 c)) (* -1 (log (/ 1 a))))))) (* a c))))
(+ (exp (* 1/4 (+ (log (* -4 c)) (* -1 (log (/ 1 a)))))) (+ (* -1/16 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* -4 c)) (* -1 (log (/ 1 a))))))) (* a c))) (/ (* (exp (* 1/4 (+ (log (* -4 c)) (* -1 (log (/ 1 a)))))) (+ (* -1/128 (/ (pow b 4) (pow c 2))) (* 1/512 (/ (pow b 4) (pow c 2))))) (pow a 2))))
(+ (exp (* 1/4 (+ (log (* -4 c)) (* -1 (log (/ 1 a)))))) (+ (* -1/16 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* -4 c)) (* -1 (log (/ 1 a))))))) (* a c))) (+ (/ (* (exp (* 1/4 (+ (log (* -4 c)) (* -1 (log (/ 1 a)))))) (+ (* -1/128 (/ (pow b 4) (pow c 2))) (* 1/512 (/ (pow b 4) (pow c 2))))) (pow a 2)) (/ (* (exp (* 1/4 (+ (log (* -4 c)) (* -1 (log (/ 1 a)))))) (+ (* -1/768 (/ (pow b 6) (pow c 3))) (+ (* -1/24576 (/ (pow b 6) (pow c 3))) (* 1/2048 (/ (pow b 6) (pow c 3)))))) (pow a 3)))))
(* -4 (* a c))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* (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 (/ (* a c) b))
(* a (+ (* -2 (/ b a)) (* 2 (/ c b))))
(* -2 (/ (* a c) (pow b 2)))
(* a (+ (* -2 (/ c (pow b 2))) (* 2 (/ 1 a))))
(* -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 (/ b (pow (sqrt -4) 2))) (* 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))))) a)
(/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* 2 (/ b (pow (sqrt -4) 2))) (+ (* 2 (/ (+ (* -1 (* (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)))) (* -1/2 (/ (* (pow a 2) (pow b 3)) (* c (pow (sqrt -4) 4))))) (pow a 3))) (* 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)))))) a)
(* 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))))))
(* -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)))))
(* -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 (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))
(/ (exp (* 1/4 (+ (log (* 4 c)) (* -1 (log (/ -1 a)))))) a)
(* -1 (/ (+ (* -1 (exp (* 1/4 (+ (log (* 4 c)) (* -1 (log (/ -1 a))))))) (* 1/16 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* 4 c)) (* -1 (log (/ -1 a))))))) (* a c)))) a))
(* -1 (/ (+ (* -1 (exp (* 1/4 (+ (log (* 4 c)) (* -1 (log (/ -1 a))))))) (* -1 (/ (+ (* -1/16 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* 4 c)) (* -1 (log (/ -1 a))))))) c)) (/ (* (exp (* 1/4 (+ (log (* 4 c)) (* -1 (log (/ -1 a)))))) (+ (* -1/128 (/ (pow b 4) (pow c 2))) (* 1/512 (/ (pow b 4) (pow c 2))))) a)) a))) a))
(* -1 (/ (+ (* -1 (exp (* 1/4 (+ (log (* 4 c)) (* -1 (log (/ -1 a))))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (exp (* 1/4 (+ (log (* 4 c)) (* -1 (log (/ -1 a)))))) (+ (* -1/128 (/ (pow b 4) (pow c 2))) (* 1/512 (/ (pow b 4) (pow c 2)))))) (/ (* (exp (* 1/4 (+ (log (* 4 c)) (* -1 (log (/ -1 a)))))) (+ (* -1/2048 (/ (pow b 6) (pow c 3))) (+ (* 1/24576 (/ (pow b 6) (pow c 3))) (* 1/768 (/ (pow b 6) (pow c 3)))))) a)) a)) (* -1/16 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* 4 c)) (* -1 (log (/ -1 a))))))) c))) a))) a))
(exp (* 1/4 (+ (log (* 4 c)) (* -1 (log (/ -1 a))))))
(+ (exp (* 1/4 (+ (log (* 4 c)) (* -1 (log (/ -1 a)))))) (* -1/16 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* 4 c)) (* -1 (log (/ -1 a))))))) (* a c))))
(+ (exp (* 1/4 (+ (log (* 4 c)) (* -1 (log (/ -1 a)))))) (* -1 (/ (+ (* -1 (/ (* (exp (* 1/4 (+ (log (* 4 c)) (* -1 (log (/ -1 a)))))) (+ (* -1/128 (/ (pow b 4) (pow c 2))) (* 1/512 (/ (pow b 4) (pow c 2))))) a)) (* 1/16 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* 4 c)) (* -1 (log (/ -1 a))))))) c))) a)))
(+ (exp (* 1/4 (+ (log (* 4 c)) (* -1 (log (/ -1 a)))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* 1/4 (+ (log (* 4 c)) (* -1 (log (/ -1 a)))))) (+ (* -1/2048 (/ (pow b 6) (pow c 3))) (+ (* 1/24576 (/ (pow b 6) (pow c 3))) (* 1/768 (/ (pow b 6) (pow c 3)))))) a)) (* (exp (* 1/4 (+ (log (* 4 c)) (* -1 (log (/ -1 a)))))) (+ (* -1/128 (/ (pow b 4) (pow c 2))) (* 1/512 (/ (pow b 4) (pow c 2)))))) a)) (* 1/16 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* 4 c)) (* -1 (log (/ -1 a))))))) c))) a)))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(* -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))))))
(* -1 (* a (+ (* -2 (/ c b)) (* 2 (/ b a)))))
(* -1 (* a (- (* 2 (/ c (pow b 2))) (* 2 (/ 1 a)))))
(* (sqrt (/ c a)) (sqrt -1))
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* 1/2 b)) a))
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -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))))) a)) (* -1/2 (* a b))) a))) a))
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (+ (* -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))))))))) (* -1/32 (/ (* (pow a 2) (pow b 3)) c))) a)) (* 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)) (* -1/2 (* a b))) a))) a))
(* -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))))))))
(* 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))))))
(+ (* 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 (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))
(pow (/ (* -4 c) (pow a 3)) 1/4)
(+ (* -1/16 (* (pow (/ -4 (* (pow a 7) (pow c 3))) 1/4) (pow b 2))) (pow (/ (* -4 c) (pow a 3)) 1/4))
(+ (* (pow b 2) (+ (* -1/16 (pow (/ -4 (* (pow a 7) (pow c 3))) 1/4)) (* -3/512 (* (pow (/ -4 (* (pow a 11) (pow c 7))) 1/4) (pow b 2))))) (pow (/ (* -4 c) (pow a 3)) 1/4))
(+ (* (pow b 2) (+ (* -1/16 (pow (/ -4 (* (pow a 7) (pow c 3))) 1/4)) (* (pow b 2) (+ (* -3/512 (pow (/ -4 (* (pow a 11) (pow c 7))) 1/4)) (* -7/8192 (* (pow (/ -4 (* (pow a 15) (pow c 11))) 1/4) (pow b 2))))))) (pow (/ (* -4 c) (pow a 3)) 1/4))
(pow (* -4 (* a c)) 1/4)
(+ (* -1/16 (* (pow (/ -4 (* (pow a 3) (pow c 3))) 1/4) (pow b 2))) (pow (* -4 (* a c)) 1/4))
(+ (* (pow b 2) (+ (* -1/16 (pow (/ -4 (* (pow a 3) (pow c 3))) 1/4)) (* -3/512 (* (pow (/ -4 (* (pow a 7) (pow c 7))) 1/4) (pow b 2))))) (pow (* -4 (* a c)) 1/4))
(+ (* (pow b 2) (+ (* -1/16 (pow (/ -4 (* (pow a 3) (pow c 3))) 1/4)) (* (pow b 2) (+ (* -3/512 (pow (/ -4 (* (pow a 7) (pow c 7))) 1/4)) (* -7/8192 (* (pow (/ -4 (* (pow a 11) (pow c 11))) 1/4) (pow b 2))))))) (pow (* -4 (* a c)) 1/4))
(+ (* -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 (pow b 2)) (* 2 (* a c))) b)
(/ (+ (* -2 (* a c)) (* 2 (pow b 2))) (pow b 2))
(+ (* -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 (- (* 1/2 (/ 1 (* (pow a 2) (* c (pow (sqrt -4) 4))))) (* -1 (* (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))))))) (* 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)))))))
(+ (* 1/2 (* (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)))))))))
(- (* -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)))
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* (/ 1 a) (sqrt b))
(+ (* -1 (* (sqrt (/ 1 (pow b 3))) c)) (* (/ 1 a) (sqrt b)))
(+ (* -1 (* (sqrt (/ 1 (pow b 3))) c)) (+ (* (/ 1 a) (sqrt b)) (* (/ (+ (* -2 (* (pow a 2) (pow c 2))) (* 1/2 (* (pow a 2) (pow c 2)))) a) (sqrt (/ 1 (pow b 7))))))
(+ (* -1 (* (sqrt (/ 1 (pow b 3))) c)) (+ (* (/ 1 a) (sqrt b)) (+ (* (/ (+ (* -16/3 (* (pow a 3) (pow c 3))) (+ (* -1/6 (* (pow a 3) (pow c 3))) (* 2 (* (pow a 3) (pow c 3))))) a) (sqrt (/ 1 (pow b 11)))) (* (/ (+ (* -2 (* (pow a 2) (pow c 2))) (* 1/2 (* (pow a 2) (pow c 2)))) a) (sqrt (/ 1 (pow b 7)))))))
(sqrt b)
(+ (sqrt b) (* -1 (* (* a c) (sqrt (/ 1 (pow b 3))))))
(+ (sqrt b) (+ (* -1 (* (* a c) (sqrt (/ 1 (pow b 3))))) (* (sqrt (/ 1 (pow b 7))) (+ (* -2 (* (pow a 2) (pow c 2))) (* 1/2 (* (pow a 2) (pow c 2)))))))
(+ (sqrt b) (+ (* -1 (* (* a c) (sqrt (/ 1 (pow b 3))))) (+ (* (sqrt (/ 1 (pow b 7))) (+ (* -2 (* (pow a 2) (pow c 2))) (* 1/2 (* (pow a 2) (pow c 2))))) (* (sqrt (/ 1 (pow b 11))) (+ (* -16/3 (* (pow a 3) (pow c 3))) (+ (* -1/6 (* (pow a 3) (pow c 3))) (* 2 (* (pow a 3) (pow c 3)))))))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(/ (+ (* -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)
(* b (- (* 2 (/ (* a c) (pow b 2))) 2))
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* 2 (/ (+ (* -2 (* (pow a 3) (pow c 4))) (* -1/2 (* (pow a 3) (pow c 4)))) (pow b 6)))))) 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)))))))
(* 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)))))))
(* -1 (/ b a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))
(* (/ (sqrt -1) a) (sqrt b))
(+ (* -1 (* (sqrt (/ 1 (pow b 3))) (* c (sqrt -1)))) (* (/ (sqrt -1) a) (sqrt b)))
(+ (* -1 (* (sqrt (/ 1 (pow b 3))) (* c (sqrt -1)))) (+ (* (/ (sqrt -1) a) (sqrt b)) (* (/ (* (sqrt -1) (+ (* -2 (* (pow a 2) (pow c 2))) (* 1/2 (* (pow a 2) (pow c 2))))) a) (sqrt (/ 1 (pow b 7))))))
(+ (* -1 (* (sqrt (/ 1 (pow b 3))) (* c (sqrt -1)))) (+ (* (/ (sqrt -1) a) (sqrt b)) (+ (* (/ (* (sqrt -1) (+ (* -16/3 (* (pow a 3) (pow c 3))) (+ (* -1/6 (* (pow a 3) (pow c 3))) (* 2 (* (pow a 3) (pow c 3)))))) a) (sqrt (/ 1 (pow b 11)))) (* (/ (* (sqrt -1) (+ (* -2 (* (pow a 2) (pow c 2))) (* 1/2 (* (pow a 2) (pow c 2))))) a) (sqrt (/ 1 (pow b 7)))))))
(* (sqrt b) (sqrt -1))
(+ (* -1 (* (* a (* c (sqrt -1))) (sqrt (/ 1 (pow b 3))))) (* (sqrt b) (sqrt -1)))
(+ (* -1 (* (* a (* c (sqrt -1))) (sqrt (/ 1 (pow b 3))))) (+ (* (sqrt b) (sqrt -1)) (* (sqrt (/ 1 (pow b 7))) (* (sqrt -1) (+ (* -2 (* (pow a 2) (pow c 2))) (* 1/2 (* (pow a 2) (pow c 2))))))))
(+ (* -1 (* (* a (* c (sqrt -1))) (sqrt (/ 1 (pow b 3))))) (+ (* (sqrt b) (sqrt -1)) (+ (* (sqrt (/ 1 (pow b 7))) (* (sqrt -1) (+ (* -2 (* (pow a 2) (pow c 2))) (* 1/2 (* (pow a 2) (pow c 2)))))) (* (sqrt (/ 1 (pow b 11))) (* (sqrt -1) (+ (* -16/3 (* (pow a 3) (pow c 3))) (+ (* -1/6 (* (pow a 3) (pow c 3))) (* 2 (* (pow a 3) (pow c 3))))))))))
(* -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))))))))
(* -1 (* b (+ (* -2 (/ (+ (* -1/2 (* a (pow c 2))) (* a (pow c 2))) (pow b 4))) (+ (* -1 (/ c (pow b 2))) (/ 1 a)))))
(* -1 (* b (+ (* -2 (/ (+ (* -1 (* a (* c (+ (* -1/2 (* a (pow c 2))) (* a (pow c 2)))))) (+ (* -1 (* (pow a 2) (pow c 3))) (* 1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* (pow a 2) c))))) (pow b 6))) (+ (* -2 (/ (+ (* -1/2 (* a (pow c 2))) (* a (pow c 2))) (pow b 4))) (+ (* -1 (/ c (pow b 2))) (/ 1 a))))))
(* -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))))))))
(* -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))
(+ (* -1/2 (/ b a)) (* 1/2 (/ b a)))
(+ (* -1 (/ c b)) (+ (* -1/2 (/ b a)) (* 1/2 (/ b a))))
(+ (* -1/2 (/ b a)) (+ (* 1/2 (/ b a)) (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))))
(+ (* -1/2 (/ b a)) (+ (* 1/2 (/ b a)) (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))))
(+ (* -1 (* (pow 1 1/4) (* (sqrt (/ 1 (pow b 3))) c))) (* (pow 1 1/4) (* (/ 1 a) (sqrt b))))
(+ (* c (+ (* -1 (* (pow 1 1/4) (sqrt (/ 1 (pow b 3))))) (* (pow 1 1/4) (* (/ (* c (+ (* -2 (/ (pow a 2) (pow b 4))) (* 1/2 (/ (pow a 2) (pow b 4))))) a) (sqrt b))))) (* (pow 1 1/4) (* (/ 1 a) (sqrt b))))
(+ (* c (+ (* -1 (* (pow 1 1/4) (sqrt (/ 1 (pow b 3))))) (* c (+ (* (pow 1 1/4) (* (/ (* c (+ (* -16/3 (/ (pow a 3) (pow b 6))) (+ (* -1/6 (/ (pow a 3) (pow b 6))) (* 2 (/ (pow a 3) (pow b 6)))))) a) (sqrt b))) (* (pow 1 1/4) (* (/ (+ (* -2 (/ (pow a 2) (pow b 4))) (* 1/2 (/ (pow a 2) (pow b 4)))) a) (sqrt b))))))) (* (pow 1 1/4) (* (/ 1 a) (sqrt b))))
(+ (* c (+ (* -1 (* (pow 1 1/4) (* a (sqrt (/ 1 (pow b 3)))))) (* (pow 1 1/4) (* (sqrt b) (* c (+ (* -2 (/ (pow a 2) (pow b 4))) (* 1/2 (/ (pow a 2) (pow b 4))))))))) (* (pow 1 1/4) (sqrt b)))
(+ (* c (+ (* -1 (* (pow 1 1/4) (* a (sqrt (/ 1 (pow b 3)))))) (* c (+ (* (pow 1 1/4) (* (sqrt b) (* c (+ (* -16/3 (/ (pow a 3) (pow b 6))) (+ (* -1/6 (/ (pow a 3) (pow b 6))) (* 2 (/ (pow a 3) (pow b 6)))))))) (* (pow 1 1/4) (* (sqrt b) (+ (* -2 (/ (pow a 2) (pow b 4))) (* 1/2 (/ (pow a 2) (pow b 4)))))))))) (* (pow 1 1/4) (sqrt b)))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 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))))))))
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* 2 (* c (+ (* -2 (/ (pow a 3) (pow b 7))) (* -1/2 (/ (pow a 3) (pow b 7)))))))))) (/ 1 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))))))))
(- (* 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))
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))
(/ (exp (* 1/4 (+ (log (* -4 a)) (* -1 (log (/ 1 c)))))) a)
(+ (* -1/16 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* -4 a)) (* -1 (log (/ 1 c))))))) (* (pow a 2) c))) (/ (exp (* 1/4 (+ (log (* -4 a)) (* -1 (log (/ 1 c)))))) a))
(+ (* -1/16 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* -4 a)) (* -1 (log (/ 1 c))))))) (* (pow a 2) c))) (+ (/ (exp (* 1/4 (+ (log (* -4 a)) (* -1 (log (/ 1 c)))))) a) (/ (* (exp (* 1/4 (+ (log (* -4 a)) (* -1 (log (/ 1 c)))))) (+ (* -1/128 (/ (pow b 4) (pow a 2))) (* 1/512 (/ (pow b 4) (pow a 2))))) (* a (pow c 2)))))
(+ (* -1/16 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* -4 a)) (* -1 (log (/ 1 c))))))) (* (pow a 2) c))) (+ (/ (exp (* 1/4 (+ (log (* -4 a)) (* -1 (log (/ 1 c)))))) a) (+ (/ (* (exp (* 1/4 (+ (log (* -4 a)) (* -1 (log (/ 1 c)))))) (+ (* -1/128 (/ (pow b 4) (pow a 2))) (* 1/512 (/ (pow b 4) (pow a 2))))) (* a (pow c 2))) (/ (* (exp (* 1/4 (+ (log (* -4 a)) (* -1 (log (/ 1 c)))))) (+ (* -1/768 (/ (pow b 6) (pow a 3))) (+ (* -1/24576 (/ (pow b 6) (pow a 3))) (* 1/2048 (/ (pow b 6) (pow a 3)))))) (* a (pow c 3))))))
(exp (* 1/4 (+ (log (* -4 a)) (* -1 (log (/ 1 c))))))
(+ (exp (* 1/4 (+ (log (* -4 a)) (* -1 (log (/ 1 c)))))) (* -1/16 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* -4 a)) (* -1 (log (/ 1 c))))))) (* a c))))
(+ (exp (* 1/4 (+ (log (* -4 a)) (* -1 (log (/ 1 c)))))) (+ (* -1/16 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* -4 a)) (* -1 (log (/ 1 c))))))) (* a c))) (/ (* (exp (* 1/4 (+ (log (* -4 a)) (* -1 (log (/ 1 c)))))) (+ (* -1/128 (/ (pow b 4) (pow a 2))) (* 1/512 (/ (pow b 4) (pow a 2))))) (pow c 2))))
(+ (exp (* 1/4 (+ (log (* -4 a)) (* -1 (log (/ 1 c)))))) (+ (* -1/16 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* -4 a)) (* -1 (log (/ 1 c))))))) (* a c))) (+ (/ (* (exp (* 1/4 (+ (log (* -4 a)) (* -1 (log (/ 1 c)))))) (+ (* -1/128 (/ (pow b 4) (pow a 2))) (* 1/512 (/ (pow b 4) (pow a 2))))) (pow c 2)) (/ (* (exp (* 1/4 (+ (log (* -4 a)) (* -1 (log (/ 1 c)))))) (+ (* -1/768 (/ (pow b 6) (pow a 3))) (+ (* -1/24576 (/ (pow b 6) (pow a 3))) (* 1/2048 (/ (pow b 6) (pow a 3)))))) (pow c 3)))))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(* 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)))
(* c (+ (* -2 (/ b c)) (* 2 (/ a b))))
(* c (+ (* -2 (/ a (pow b 2))) (* 2 (/ 1 c))))
(- (+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow c 2)))) (* -2 (/ b (* a (pow (sqrt -4) 2)))))
(- (+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (* (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 (/ b (* a (pow (sqrt -4) 2)))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))))))
(* 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))))))
(* 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)))))
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(/ (exp (* 1/4 (+ (log (* 4 a)) (* -1 (log (/ -1 c)))))) a)
(+ (* -1/16 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* 4 a)) (* -1 (log (/ -1 c))))))) (* (pow a 2) c))) (/ (exp (* 1/4 (+ (log (* 4 a)) (* -1 (log (/ -1 c)))))) a))
(+ (* -1 (/ (+ (* -1 (/ (* (exp (* 1/4 (+ (log (* 4 a)) (* -1 (log (/ -1 c)))))) (+ (* -1/128 (/ (pow b 4) (pow a 2))) (* 1/512 (/ (pow b 4) (pow a 2))))) (* a c))) (* 1/16 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* 4 a)) (* -1 (log (/ -1 c))))))) (pow a 2)))) c)) (/ (exp (* 1/4 (+ (log (* 4 a)) (* -1 (log (/ -1 c)))))) a))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* 1/4 (+ (log (* 4 a)) (* -1 (log (/ -1 c)))))) (+ (* -1/2048 (/ (pow b 6) (pow a 3))) (+ (* 1/24576 (/ (pow b 6) (pow a 3))) (* 1/768 (/ (pow b 6) (pow a 3)))))) (* a c))) (/ (* (exp (* 1/4 (+ (log (* 4 a)) (* -1 (log (/ -1 c)))))) (+ (* -1/128 (/ (pow b 4) (pow a 2))) (* 1/512 (/ (pow b 4) (pow a 2))))) a)) c)) (* 1/16 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* 4 a)) (* -1 (log (/ -1 c))))))) (pow a 2)))) c)) (/ (exp (* 1/4 (+ (log (* 4 a)) (* -1 (log (/ -1 c)))))) a))
(exp (* 1/4 (+ (log (* 4 a)) (* -1 (log (/ -1 c))))))
(+ (exp (* 1/4 (+ (log (* 4 a)) (* -1 (log (/ -1 c)))))) (* -1/16 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* 4 a)) (* -1 (log (/ -1 c))))))) (* a c))))
(+ (exp (* 1/4 (+ (log (* 4 a)) (* -1 (log (/ -1 c)))))) (* -1 (/ (+ (* -1 (/ (* (exp (* 1/4 (+ (log (* 4 a)) (* -1 (log (/ -1 c)))))) (+ (* -1/128 (/ (pow b 4) (pow a 2))) (* 1/512 (/ (pow b 4) (pow a 2))))) c)) (* 1/16 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* 4 a)) (* -1 (log (/ -1 c))))))) a))) c)))
(+ (exp (* 1/4 (+ (log (* 4 a)) (* -1 (log (/ -1 c)))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* 1/4 (+ (log (* 4 a)) (* -1 (log (/ -1 c)))))) (+ (* -1/2048 (/ (pow b 6) (pow a 3))) (+ (* 1/24576 (/ (pow b 6) (pow a 3))) (* 1/768 (/ (pow b 6) (pow a 3)))))) c)) (* (exp (* 1/4 (+ (log (* 4 a)) (* -1 (log (/ -1 c)))))) (+ (* -1/128 (/ (pow b 4) (pow a 2))) (* 1/512 (/ (pow b 4) (pow a 2)))))) c)) (* 1/16 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* 4 a)) (* -1 (log (/ -1 c))))))) a))) c)))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(* -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))))))
(* -1 (* c (+ (* -2 (/ a b)) (* 2 (/ b c)))))
(* -1 (* c (- (* 2 (/ a (pow b 2))) (* 2 (/ 1 c)))))
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (- (+ (* -1/4 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) (* -1/2 (/ (* b c) a))) c)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (* b (* (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))))))))) (* -1/16 (/ (* (pow b 3) c) (pow a 2)))) (+ (* -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)))))) c)) (* -1/2 (/ (* b c) a))) c)) (* (sqrt (/ c a)) (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 (* 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))))))
Calls

9 calls:

TimeVariablePointExpression
11.0ms
a
@inf
((+ (* (/ (pow (+ (* a (* -4 c)) (* b b)) 1/4) a) (/ (pow (+ (* a (* -4 c)) (* b b)) 1/4) 2)) (/ b (* -2 a))) (/ (pow (+ (* a (* -4 c)) (* b b)) 1/4) a) (pow (+ (* a (* -4 c)) (* b b)) 1/4) (+ (* a (* -4 c)) (* b b)) (+ (/ (sqrt (+ (* a (* -4 c)) (* b b))) (* 2 a)) (/ b (* -2 a))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* (* a (/ -2 b)) c) (* a (/ -2 b)) (* (+ (* (* -2 a) (/ (/ c b) b)) 2) (neg b)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ (* (* -2 a) (/ (/ c b) b)) 2) (- (* b b) (+ (* (* c -4) a) (* b b))) (/ (- (* b b) (+ (* (* c -4) a) (* b b))) (* (- (neg b) (sqrt (+ (* (* c -4) a) (* b b)))) (* 2 a))) (* b b) (+ (* (* c -4) a) (* b b)) (sqrt (+ (* (* c -4) a) (* b b))) (- (neg b) (sqrt (+ (* (* c -4) a) (* b b)))))
6.0ms
a
@-inf
((+ (* (/ (pow (+ (* a (* -4 c)) (* b b)) 1/4) a) (/ (pow (+ (* a (* -4 c)) (* b b)) 1/4) 2)) (/ b (* -2 a))) (/ (pow (+ (* a (* -4 c)) (* b b)) 1/4) a) (pow (+ (* a (* -4 c)) (* b b)) 1/4) (+ (* a (* -4 c)) (* b b)) (+ (/ (sqrt (+ (* a (* -4 c)) (* b b))) (* 2 a)) (/ b (* -2 a))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* (* a (/ -2 b)) c) (* a (/ -2 b)) (* (+ (* (* -2 a) (/ (/ c b) b)) 2) (neg b)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ (* (* -2 a) (/ (/ c b) b)) 2) (- (* b b) (+ (* (* c -4) a) (* b b))) (/ (- (* b b) (+ (* (* c -4) a) (* b b))) (* (- (neg b) (sqrt (+ (* (* c -4) a) (* b b)))) (* 2 a))) (* b b) (+ (* (* c -4) a) (* b b)) (sqrt (+ (* (* c -4) a) (* b b))) (- (neg b) (sqrt (+ (* (* c -4) a) (* b b)))))
6.0ms
c
@inf
((+ (* (/ (pow (+ (* a (* -4 c)) (* b b)) 1/4) a) (/ (pow (+ (* a (* -4 c)) (* b b)) 1/4) 2)) (/ b (* -2 a))) (/ (pow (+ (* a (* -4 c)) (* b b)) 1/4) a) (pow (+ (* a (* -4 c)) (* b b)) 1/4) (+ (* a (* -4 c)) (* b b)) (+ (/ (sqrt (+ (* a (* -4 c)) (* b b))) (* 2 a)) (/ b (* -2 a))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* (* a (/ -2 b)) c) (* a (/ -2 b)) (* (+ (* (* -2 a) (/ (/ c b) b)) 2) (neg b)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ (* (* -2 a) (/ (/ c b) b)) 2) (- (* b b) (+ (* (* c -4) a) (* b b))) (/ (- (* b b) (+ (* (* c -4) a) (* b b))) (* (- (neg b) (sqrt (+ (* (* c -4) a) (* b b)))) (* 2 a))) (* b b) (+ (* (* c -4) a) (* b b)) (sqrt (+ (* (* c -4) a) (* b b))) (- (neg b) (sqrt (+ (* (* c -4) a) (* b b)))))
6.0ms
b
@inf
((+ (* (/ (pow (+ (* a (* -4 c)) (* b b)) 1/4) a) (/ (pow (+ (* a (* -4 c)) (* b b)) 1/4) 2)) (/ b (* -2 a))) (/ (pow (+ (* a (* -4 c)) (* b b)) 1/4) a) (pow (+ (* a (* -4 c)) (* b b)) 1/4) (+ (* a (* -4 c)) (* b b)) (+ (/ (sqrt (+ (* a (* -4 c)) (* b b))) (* 2 a)) (/ b (* -2 a))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* (* a (/ -2 b)) c) (* a (/ -2 b)) (* (+ (* (* -2 a) (/ (/ c b) b)) 2) (neg b)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ (* (* -2 a) (/ (/ c b) b)) 2) (- (* b b) (+ (* (* c -4) a) (* b b))) (/ (- (* b b) (+ (* (* c -4) a) (* b b))) (* (- (neg b) (sqrt (+ (* (* c -4) a) (* b b)))) (* 2 a))) (* b b) (+ (* (* c -4) a) (* b b)) (sqrt (+ (* (* c -4) a) (* b b))) (- (neg b) (sqrt (+ (* (* c -4) a) (* b b)))))
6.0ms
c
@0
((+ (* (/ (pow (+ (* a (* -4 c)) (* b b)) 1/4) a) (/ (pow (+ (* a (* -4 c)) (* b b)) 1/4) 2)) (/ b (* -2 a))) (/ (pow (+ (* a (* -4 c)) (* b b)) 1/4) a) (pow (+ (* a (* -4 c)) (* b b)) 1/4) (+ (* a (* -4 c)) (* b b)) (+ (/ (sqrt (+ (* a (* -4 c)) (* b b))) (* 2 a)) (/ b (* -2 a))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* (* a (/ -2 b)) c) (* a (/ -2 b)) (* (+ (* (* -2 a) (/ (/ c b) b)) 2) (neg b)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ (* (* -2 a) (/ (/ c b) b)) 2) (- (* b b) (+ (* (* c -4) a) (* b b))) (/ (- (* b b) (+ (* (* c -4) a) (* b b))) (* (- (neg b) (sqrt (+ (* (* c -4) a) (* b b)))) (* 2 a))) (* b b) (+ (* (* c -4) a) (* b b)) (sqrt (+ (* (* c -4) a) (* b b))) (- (neg b) (sqrt (+ (* (* c -4) a) (* b b)))))

simplify266.0ms (3.4%)

Memory
14.5MiB live, 364.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
013487894
149687830
092817503
Stop Event
iter limit
node limit
Counts
240 → 239
Calls
Call 1
Inputs
(/ (+ (* -1/2 b) (* 1/2 b)) a)
(/ (+ (* -1 (/ (* a c) b)) (+ (* -1/2 b) (* 1/2 b))) a)
(/ (+ (* -1/2 b) (+ (* 1/2 b) (* a (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))))) a)
(/ (+ (* -1/2 b) (+ (* 1/2 b) (* a (+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))))) a)
(* (pow 1 1/4) (* (/ 1 a) (sqrt b)))
(/ (+ (* -1 (* (pow 1 1/4) (* (* a c) (sqrt (/ 1 (pow b 3)))))) (* (pow 1 1/4) (sqrt b))) a)
(/ (+ (* a (+ (* -1 (* (pow 1 1/4) (* (sqrt (/ 1 (pow b 3))) c))) (* (pow 1 1/4) (* (* a (+ (* -2 (/ (pow c 2) (pow b 4))) (* 1/2 (/ (pow c 2) (pow b 4))))) (sqrt b))))) (* (pow 1 1/4) (sqrt b))) a)
(/ (+ (* a (+ (* -1 (* (pow 1 1/4) (* (sqrt (/ 1 (pow b 3))) c))) (* a (+ (* (pow 1 1/4) (* (sqrt b) (+ (* -2 (/ (pow c 2) (pow b 4))) (* 1/2 (/ (pow c 2) (pow b 4)))))) (* (pow 1 1/4) (* (* a (+ (* -16/3 (/ (pow c 3) (pow b 6))) (+ (* -1/6 (/ (pow c 3) (pow b 6))) (* 2 (/ (pow c 3) (pow b 6)))))) (sqrt b))))))) (* (pow 1 1/4) (sqrt b))) a)
(* (pow 1 1/4) (sqrt b))
(+ (* -1 (* (pow 1 1/4) (* (* a c) (sqrt (/ 1 (pow b 3)))))) (* (pow 1 1/4) (sqrt b)))
(+ (* a (+ (* -1 (* (pow 1 1/4) (* (sqrt (/ 1 (pow b 3))) c))) (* (pow 1 1/4) (* (* a (+ (* -2 (/ (pow c 2) (pow b 4))) (* 1/2 (/ (pow c 2) (pow b 4))))) (sqrt b))))) (* (pow 1 1/4) (sqrt b)))
(+ (* a (+ (* -1 (* (pow 1 1/4) (* (sqrt (/ 1 (pow b 3))) c))) (* a (+ (* (pow 1 1/4) (* (sqrt b) (+ (* -2 (/ (pow c 2) (pow b 4))) (* 1/2 (/ (pow c 2) (pow b 4)))))) (* (pow 1 1/4) (* (* a (+ (* -16/3 (/ (pow c 3) (pow b 6))) (+ (* -1/6 (/ (pow c 3) (pow b 6))) (* 2 (/ (pow c 3) (pow b 6)))))) (sqrt b))))))) (* (pow 1 1/4) (sqrt b)))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(* -1 (/ c b))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))
(* -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))))))))
(* -2 (/ a b))
(* -2 b)
(+ (* -2 b) (* 2 (/ (* a c) b)))
2
(+ 2 (* -2 (/ (* a c) (pow b 2))))
(* 4 (* a c))
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* 2 (* a (+ (* -2 (/ (pow c 4) (pow b 7))) (* -1/2 (/ (pow c 4) (pow b 7)))))))))))
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))))))))
(- (* 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))
(* 1/2 (* (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)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
(/ (exp (* 1/4 (+ (log (* -4 c)) (* -1 (log (/ 1 a)))))) a)
(/ (+ (exp (* 1/4 (+ (log (* -4 c)) (* -1 (log (/ 1 a)))))) (* -1/16 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* -4 c)) (* -1 (log (/ 1 a))))))) (* a c)))) a)
(/ (+ (exp (* 1/4 (+ (log (* -4 c)) (* -1 (log (/ 1 a)))))) (+ (* -1/16 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* -4 c)) (* -1 (log (/ 1 a))))))) (* a c))) (/ (* (exp (* 1/4 (+ (log (* -4 c)) (* -1 (log (/ 1 a)))))) (+ (* -1/128 (/ (pow b 4) (pow c 2))) (* 1/512 (/ (pow b 4) (pow c 2))))) (pow a 2)))) a)
(/ (+ (exp (* 1/4 (+ (log (* -4 c)) (* -1 (log (/ 1 a)))))) (+ (* -1/16 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* -4 c)) (* -1 (log (/ 1 a))))))) (* a c))) (+ (/ (* (exp (* 1/4 (+ (log (* -4 c)) (* -1 (log (/ 1 a)))))) (+ (* -1/128 (/ (pow b 4) (pow c 2))) (* 1/512 (/ (pow b 4) (pow c 2))))) (pow a 2)) (/ (* (exp (* 1/4 (+ (log (* -4 c)) (* -1 (log (/ 1 a)))))) (+ (* -1/768 (/ (pow b 6) (pow c 3))) (+ (* -1/24576 (/ (pow b 6) (pow c 3))) (* 1/2048 (/ (pow b 6) (pow c 3)))))) (pow a 3))))) a)
(exp (* 1/4 (+ (log (* -4 c)) (* -1 (log (/ 1 a))))))
(+ (exp (* 1/4 (+ (log (* -4 c)) (* -1 (log (/ 1 a)))))) (* -1/16 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* -4 c)) (* -1 (log (/ 1 a))))))) (* a c))))
(+ (exp (* 1/4 (+ (log (* -4 c)) (* -1 (log (/ 1 a)))))) (+ (* -1/16 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* -4 c)) (* -1 (log (/ 1 a))))))) (* a c))) (/ (* (exp (* 1/4 (+ (log (* -4 c)) (* -1 (log (/ 1 a)))))) (+ (* -1/128 (/ (pow b 4) (pow c 2))) (* 1/512 (/ (pow b 4) (pow c 2))))) (pow a 2))))
(+ (exp (* 1/4 (+ (log (* -4 c)) (* -1 (log (/ 1 a)))))) (+ (* -1/16 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* -4 c)) (* -1 (log (/ 1 a))))))) (* a c))) (+ (/ (* (exp (* 1/4 (+ (log (* -4 c)) (* -1 (log (/ 1 a)))))) (+ (* -1/128 (/ (pow b 4) (pow c 2))) (* 1/512 (/ (pow b 4) (pow c 2))))) (pow a 2)) (/ (* (exp (* 1/4 (+ (log (* -4 c)) (* -1 (log (/ 1 a)))))) (+ (* -1/768 (/ (pow b 6) (pow c 3))) (+ (* -1/24576 (/ (pow b 6) (pow c 3))) (* 1/2048 (/ (pow b 6) (pow c 3)))))) (pow a 3)))))
(* -4 (* a c))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* (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 (/ (* a c) b))
(* a (+ (* -2 (/ b a)) (* 2 (/ c b))))
(* -2 (/ (* a c) (pow b 2)))
(* a (+ (* -2 (/ c (pow b 2))) (* 2 (/ 1 a))))
(* -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 (/ b (pow (sqrt -4) 2))) (* 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))))) a)
(/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* 2 (/ b (pow (sqrt -4) 2))) (+ (* 2 (/ (+ (* -1 (* (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)))) (* -1/2 (/ (* (pow a 2) (pow b 3)) (* c (pow (sqrt -4) 4))))) (pow a 3))) (* 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)))))) a)
(* 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))))))
(* -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)))))
(* -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 (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))
(/ (exp (* 1/4 (+ (log (* 4 c)) (* -1 (log (/ -1 a)))))) a)
(* -1 (/ (+ (* -1 (exp (* 1/4 (+ (log (* 4 c)) (* -1 (log (/ -1 a))))))) (* 1/16 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* 4 c)) (* -1 (log (/ -1 a))))))) (* a c)))) a))
(* -1 (/ (+ (* -1 (exp (* 1/4 (+ (log (* 4 c)) (* -1 (log (/ -1 a))))))) (* -1 (/ (+ (* -1/16 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* 4 c)) (* -1 (log (/ -1 a))))))) c)) (/ (* (exp (* 1/4 (+ (log (* 4 c)) (* -1 (log (/ -1 a)))))) (+ (* -1/128 (/ (pow b 4) (pow c 2))) (* 1/512 (/ (pow b 4) (pow c 2))))) a)) a))) a))
(* -1 (/ (+ (* -1 (exp (* 1/4 (+ (log (* 4 c)) (* -1 (log (/ -1 a))))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (exp (* 1/4 (+ (log (* 4 c)) (* -1 (log (/ -1 a)))))) (+ (* -1/128 (/ (pow b 4) (pow c 2))) (* 1/512 (/ (pow b 4) (pow c 2)))))) (/ (* (exp (* 1/4 (+ (log (* 4 c)) (* -1 (log (/ -1 a)))))) (+ (* -1/2048 (/ (pow b 6) (pow c 3))) (+ (* 1/24576 (/ (pow b 6) (pow c 3))) (* 1/768 (/ (pow b 6) (pow c 3)))))) a)) a)) (* -1/16 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* 4 c)) (* -1 (log (/ -1 a))))))) c))) a))) a))
(exp (* 1/4 (+ (log (* 4 c)) (* -1 (log (/ -1 a))))))
(+ (exp (* 1/4 (+ (log (* 4 c)) (* -1 (log (/ -1 a)))))) (* -1/16 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* 4 c)) (* -1 (log (/ -1 a))))))) (* a c))))
(+ (exp (* 1/4 (+ (log (* 4 c)) (* -1 (log (/ -1 a)))))) (* -1 (/ (+ (* -1 (/ (* (exp (* 1/4 (+ (log (* 4 c)) (* -1 (log (/ -1 a)))))) (+ (* -1/128 (/ (pow b 4) (pow c 2))) (* 1/512 (/ (pow b 4) (pow c 2))))) a)) (* 1/16 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* 4 c)) (* -1 (log (/ -1 a))))))) c))) a)))
(+ (exp (* 1/4 (+ (log (* 4 c)) (* -1 (log (/ -1 a)))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* 1/4 (+ (log (* 4 c)) (* -1 (log (/ -1 a)))))) (+ (* -1/2048 (/ (pow b 6) (pow c 3))) (+ (* 1/24576 (/ (pow b 6) (pow c 3))) (* 1/768 (/ (pow b 6) (pow c 3)))))) a)) (* (exp (* 1/4 (+ (log (* 4 c)) (* -1 (log (/ -1 a)))))) (+ (* -1/128 (/ (pow b 4) (pow c 2))) (* 1/512 (/ (pow b 4) (pow c 2)))))) a)) (* 1/16 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* 4 c)) (* -1 (log (/ -1 a))))))) c))) a)))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(* -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))))))
(* -1 (* a (+ (* -2 (/ c b)) (* 2 (/ b a)))))
(* -1 (* a (- (* 2 (/ c (pow b 2))) (* 2 (/ 1 a)))))
(* (sqrt (/ c a)) (sqrt -1))
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* 1/2 b)) a))
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -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))))) a)) (* -1/2 (* a b))) a))) a))
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (+ (* -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))))))))) (* -1/32 (/ (* (pow a 2) (pow b 3)) c))) a)) (* 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)) (* -1/2 (* a b))) a))) a))
(* -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))))))))
(* 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))))))
(+ (* 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 (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))
(pow (/ (* -4 c) (pow a 3)) 1/4)
(+ (* -1/16 (* (pow (/ -4 (* (pow a 7) (pow c 3))) 1/4) (pow b 2))) (pow (/ (* -4 c) (pow a 3)) 1/4))
(+ (* (pow b 2) (+ (* -1/16 (pow (/ -4 (* (pow a 7) (pow c 3))) 1/4)) (* -3/512 (* (pow (/ -4 (* (pow a 11) (pow c 7))) 1/4) (pow b 2))))) (pow (/ (* -4 c) (pow a 3)) 1/4))
(+ (* (pow b 2) (+ (* -1/16 (pow (/ -4 (* (pow a 7) (pow c 3))) 1/4)) (* (pow b 2) (+ (* -3/512 (pow (/ -4 (* (pow a 11) (pow c 7))) 1/4)) (* -7/8192 (* (pow (/ -4 (* (pow a 15) (pow c 11))) 1/4) (pow b 2))))))) (pow (/ (* -4 c) (pow a 3)) 1/4))
(pow (* -4 (* a c)) 1/4)
(+ (* -1/16 (* (pow (/ -4 (* (pow a 3) (pow c 3))) 1/4) (pow b 2))) (pow (* -4 (* a c)) 1/4))
(+ (* (pow b 2) (+ (* -1/16 (pow (/ -4 (* (pow a 3) (pow c 3))) 1/4)) (* -3/512 (* (pow (/ -4 (* (pow a 7) (pow c 7))) 1/4) (pow b 2))))) (pow (* -4 (* a c)) 1/4))
(+ (* (pow b 2) (+ (* -1/16 (pow (/ -4 (* (pow a 3) (pow c 3))) 1/4)) (* (pow b 2) (+ (* -3/512 (pow (/ -4 (* (pow a 7) (pow c 7))) 1/4)) (* -7/8192 (* (pow (/ -4 (* (pow a 11) (pow c 11))) 1/4) (pow b 2))))))) (pow (* -4 (* a c)) 1/4))
(+ (* -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 (pow b 2)) (* 2 (* a c))) b)
(/ (+ (* -2 (* a c)) (* 2 (pow b 2))) (pow b 2))
(+ (* -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 (- (* 1/2 (/ 1 (* (pow a 2) (* c (pow (sqrt -4) 4))))) (* -1 (* (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))))))) (* 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)))))))
(+ (* 1/2 (* (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)))))))))
(- (* -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)))
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* (/ 1 a) (sqrt b))
(+ (* -1 (* (sqrt (/ 1 (pow b 3))) c)) (* (/ 1 a) (sqrt b)))
(+ (* -1 (* (sqrt (/ 1 (pow b 3))) c)) (+ (* (/ 1 a) (sqrt b)) (* (/ (+ (* -2 (* (pow a 2) (pow c 2))) (* 1/2 (* (pow a 2) (pow c 2)))) a) (sqrt (/ 1 (pow b 7))))))
(+ (* -1 (* (sqrt (/ 1 (pow b 3))) c)) (+ (* (/ 1 a) (sqrt b)) (+ (* (/ (+ (* -16/3 (* (pow a 3) (pow c 3))) (+ (* -1/6 (* (pow a 3) (pow c 3))) (* 2 (* (pow a 3) (pow c 3))))) a) (sqrt (/ 1 (pow b 11)))) (* (/ (+ (* -2 (* (pow a 2) (pow c 2))) (* 1/2 (* (pow a 2) (pow c 2)))) a) (sqrt (/ 1 (pow b 7)))))))
(sqrt b)
(+ (sqrt b) (* -1 (* (* a c) (sqrt (/ 1 (pow b 3))))))
(+ (sqrt b) (+ (* -1 (* (* a c) (sqrt (/ 1 (pow b 3))))) (* (sqrt (/ 1 (pow b 7))) (+ (* -2 (* (pow a 2) (pow c 2))) (* 1/2 (* (pow a 2) (pow c 2)))))))
(+ (sqrt b) (+ (* -1 (* (* a c) (sqrt (/ 1 (pow b 3))))) (+ (* (sqrt (/ 1 (pow b 7))) (+ (* -2 (* (pow a 2) (pow c 2))) (* 1/2 (* (pow a 2) (pow c 2))))) (* (sqrt (/ 1 (pow b 11))) (+ (* -16/3 (* (pow a 3) (pow c 3))) (+ (* -1/6 (* (pow a 3) (pow c 3))) (* 2 (* (pow a 3) (pow c 3)))))))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(/ (+ (* -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)
(* b (- (* 2 (/ (* a c) (pow b 2))) 2))
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* 2 (/ (+ (* -2 (* (pow a 3) (pow c 4))) (* -1/2 (* (pow a 3) (pow c 4)))) (pow b 6)))))) 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)))))))
(* 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)))))))
(* -1 (/ b a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))
(* (/ (sqrt -1) a) (sqrt b))
(+ (* -1 (* (sqrt (/ 1 (pow b 3))) (* c (sqrt -1)))) (* (/ (sqrt -1) a) (sqrt b)))
(+ (* -1 (* (sqrt (/ 1 (pow b 3))) (* c (sqrt -1)))) (+ (* (/ (sqrt -1) a) (sqrt b)) (* (/ (* (sqrt -1) (+ (* -2 (* (pow a 2) (pow c 2))) (* 1/2 (* (pow a 2) (pow c 2))))) a) (sqrt (/ 1 (pow b 7))))))
(+ (* -1 (* (sqrt (/ 1 (pow b 3))) (* c (sqrt -1)))) (+ (* (/ (sqrt -1) a) (sqrt b)) (+ (* (/ (* (sqrt -1) (+ (* -16/3 (* (pow a 3) (pow c 3))) (+ (* -1/6 (* (pow a 3) (pow c 3))) (* 2 (* (pow a 3) (pow c 3)))))) a) (sqrt (/ 1 (pow b 11)))) (* (/ (* (sqrt -1) (+ (* -2 (* (pow a 2) (pow c 2))) (* 1/2 (* (pow a 2) (pow c 2))))) a) (sqrt (/ 1 (pow b 7)))))))
(* (sqrt b) (sqrt -1))
(+ (* -1 (* (* a (* c (sqrt -1))) (sqrt (/ 1 (pow b 3))))) (* (sqrt b) (sqrt -1)))
(+ (* -1 (* (* a (* c (sqrt -1))) (sqrt (/ 1 (pow b 3))))) (+ (* (sqrt b) (sqrt -1)) (* (sqrt (/ 1 (pow b 7))) (* (sqrt -1) (+ (* -2 (* (pow a 2) (pow c 2))) (* 1/2 (* (pow a 2) (pow c 2))))))))
(+ (* -1 (* (* a (* c (sqrt -1))) (sqrt (/ 1 (pow b 3))))) (+ (* (sqrt b) (sqrt -1)) (+ (* (sqrt (/ 1 (pow b 7))) (* (sqrt -1) (+ (* -2 (* (pow a 2) (pow c 2))) (* 1/2 (* (pow a 2) (pow c 2)))))) (* (sqrt (/ 1 (pow b 11))) (* (sqrt -1) (+ (* -16/3 (* (pow a 3) (pow c 3))) (+ (* -1/6 (* (pow a 3) (pow c 3))) (* 2 (* (pow a 3) (pow c 3))))))))))
(* -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))))))))
(* -1 (* b (+ (* -2 (/ (+ (* -1/2 (* a (pow c 2))) (* a (pow c 2))) (pow b 4))) (+ (* -1 (/ c (pow b 2))) (/ 1 a)))))
(* -1 (* b (+ (* -2 (/ (+ (* -1 (* a (* c (+ (* -1/2 (* a (pow c 2))) (* a (pow c 2)))))) (+ (* -1 (* (pow a 2) (pow c 3))) (* 1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* (pow a 2) c))))) (pow b 6))) (+ (* -2 (/ (+ (* -1/2 (* a (pow c 2))) (* a (pow c 2))) (pow b 4))) (+ (* -1 (/ c (pow b 2))) (/ 1 a))))))
(* -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))))))))
(* -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))
(+ (* -1/2 (/ b a)) (* 1/2 (/ b a)))
(+ (* -1 (/ c b)) (+ (* -1/2 (/ b a)) (* 1/2 (/ b a))))
(+ (* -1/2 (/ b a)) (+ (* 1/2 (/ b a)) (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))))
(+ (* -1/2 (/ b a)) (+ (* 1/2 (/ b a)) (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))))
(+ (* -1 (* (pow 1 1/4) (* (sqrt (/ 1 (pow b 3))) c))) (* (pow 1 1/4) (* (/ 1 a) (sqrt b))))
(+ (* c (+ (* -1 (* (pow 1 1/4) (sqrt (/ 1 (pow b 3))))) (* (pow 1 1/4) (* (/ (* c (+ (* -2 (/ (pow a 2) (pow b 4))) (* 1/2 (/ (pow a 2) (pow b 4))))) a) (sqrt b))))) (* (pow 1 1/4) (* (/ 1 a) (sqrt b))))
(+ (* c (+ (* -1 (* (pow 1 1/4) (sqrt (/ 1 (pow b 3))))) (* c (+ (* (pow 1 1/4) (* (/ (* c (+ (* -16/3 (/ (pow a 3) (pow b 6))) (+ (* -1/6 (/ (pow a 3) (pow b 6))) (* 2 (/ (pow a 3) (pow b 6)))))) a) (sqrt b))) (* (pow 1 1/4) (* (/ (+ (* -2 (/ (pow a 2) (pow b 4))) (* 1/2 (/ (pow a 2) (pow b 4)))) a) (sqrt b))))))) (* (pow 1 1/4) (* (/ 1 a) (sqrt b))))
(+ (* c (+ (* -1 (* (pow 1 1/4) (* a (sqrt (/ 1 (pow b 3)))))) (* (pow 1 1/4) (* (sqrt b) (* c (+ (* -2 (/ (pow a 2) (pow b 4))) (* 1/2 (/ (pow a 2) (pow b 4))))))))) (* (pow 1 1/4) (sqrt b)))
(+ (* c (+ (* -1 (* (pow 1 1/4) (* a (sqrt (/ 1 (pow b 3)))))) (* c (+ (* (pow 1 1/4) (* (sqrt b) (* c (+ (* -16/3 (/ (pow a 3) (pow b 6))) (+ (* -1/6 (/ (pow a 3) (pow b 6))) (* 2 (/ (pow a 3) (pow b 6)))))))) (* (pow 1 1/4) (* (sqrt b) (+ (* -2 (/ (pow a 2) (pow b 4))) (* 1/2 (/ (pow a 2) (pow b 4)))))))))) (* (pow 1 1/4) (sqrt b)))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 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))))))))
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* 2 (* c (+ (* -2 (/ (pow a 3) (pow b 7))) (* -1/2 (/ (pow a 3) (pow b 7)))))))))) (/ 1 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))))))))
(- (* 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))
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))
(/ (exp (* 1/4 (+ (log (* -4 a)) (* -1 (log (/ 1 c)))))) a)
(+ (* -1/16 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* -4 a)) (* -1 (log (/ 1 c))))))) (* (pow a 2) c))) (/ (exp (* 1/4 (+ (log (* -4 a)) (* -1 (log (/ 1 c)))))) a))
(+ (* -1/16 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* -4 a)) (* -1 (log (/ 1 c))))))) (* (pow a 2) c))) (+ (/ (exp (* 1/4 (+ (log (* -4 a)) (* -1 (log (/ 1 c)))))) a) (/ (* (exp (* 1/4 (+ (log (* -4 a)) (* -1 (log (/ 1 c)))))) (+ (* -1/128 (/ (pow b 4) (pow a 2))) (* 1/512 (/ (pow b 4) (pow a 2))))) (* a (pow c 2)))))
(+ (* -1/16 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* -4 a)) (* -1 (log (/ 1 c))))))) (* (pow a 2) c))) (+ (/ (exp (* 1/4 (+ (log (* -4 a)) (* -1 (log (/ 1 c)))))) a) (+ (/ (* (exp (* 1/4 (+ (log (* -4 a)) (* -1 (log (/ 1 c)))))) (+ (* -1/128 (/ (pow b 4) (pow a 2))) (* 1/512 (/ (pow b 4) (pow a 2))))) (* a (pow c 2))) (/ (* (exp (* 1/4 (+ (log (* -4 a)) (* -1 (log (/ 1 c)))))) (+ (* -1/768 (/ (pow b 6) (pow a 3))) (+ (* -1/24576 (/ (pow b 6) (pow a 3))) (* 1/2048 (/ (pow b 6) (pow a 3)))))) (* a (pow c 3))))))
(exp (* 1/4 (+ (log (* -4 a)) (* -1 (log (/ 1 c))))))
(+ (exp (* 1/4 (+ (log (* -4 a)) (* -1 (log (/ 1 c)))))) (* -1/16 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* -4 a)) (* -1 (log (/ 1 c))))))) (* a c))))
(+ (exp (* 1/4 (+ (log (* -4 a)) (* -1 (log (/ 1 c)))))) (+ (* -1/16 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* -4 a)) (* -1 (log (/ 1 c))))))) (* a c))) (/ (* (exp (* 1/4 (+ (log (* -4 a)) (* -1 (log (/ 1 c)))))) (+ (* -1/128 (/ (pow b 4) (pow a 2))) (* 1/512 (/ (pow b 4) (pow a 2))))) (pow c 2))))
(+ (exp (* 1/4 (+ (log (* -4 a)) (* -1 (log (/ 1 c)))))) (+ (* -1/16 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* -4 a)) (* -1 (log (/ 1 c))))))) (* a c))) (+ (/ (* (exp (* 1/4 (+ (log (* -4 a)) (* -1 (log (/ 1 c)))))) (+ (* -1/128 (/ (pow b 4) (pow a 2))) (* 1/512 (/ (pow b 4) (pow a 2))))) (pow c 2)) (/ (* (exp (* 1/4 (+ (log (* -4 a)) (* -1 (log (/ 1 c)))))) (+ (* -1/768 (/ (pow b 6) (pow a 3))) (+ (* -1/24576 (/ (pow b 6) (pow a 3))) (* 1/2048 (/ (pow b 6) (pow a 3)))))) (pow c 3)))))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(* 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)))
(* c (+ (* -2 (/ b c)) (* 2 (/ a b))))
(* c (+ (* -2 (/ a (pow b 2))) (* 2 (/ 1 c))))
(- (+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow c 2)))) (* -2 (/ b (* a (pow (sqrt -4) 2)))))
(- (+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (* (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 (/ b (* a (pow (sqrt -4) 2)))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))))))
(* 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))))))
(* 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)))))
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(/ (exp (* 1/4 (+ (log (* 4 a)) (* -1 (log (/ -1 c)))))) a)
(+ (* -1/16 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* 4 a)) (* -1 (log (/ -1 c))))))) (* (pow a 2) c))) (/ (exp (* 1/4 (+ (log (* 4 a)) (* -1 (log (/ -1 c)))))) a))
(+ (* -1 (/ (+ (* -1 (/ (* (exp (* 1/4 (+ (log (* 4 a)) (* -1 (log (/ -1 c)))))) (+ (* -1/128 (/ (pow b 4) (pow a 2))) (* 1/512 (/ (pow b 4) (pow a 2))))) (* a c))) (* 1/16 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* 4 a)) (* -1 (log (/ -1 c))))))) (pow a 2)))) c)) (/ (exp (* 1/4 (+ (log (* 4 a)) (* -1 (log (/ -1 c)))))) a))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* 1/4 (+ (log (* 4 a)) (* -1 (log (/ -1 c)))))) (+ (* -1/2048 (/ (pow b 6) (pow a 3))) (+ (* 1/24576 (/ (pow b 6) (pow a 3))) (* 1/768 (/ (pow b 6) (pow a 3)))))) (* a c))) (/ (* (exp (* 1/4 (+ (log (* 4 a)) (* -1 (log (/ -1 c)))))) (+ (* -1/128 (/ (pow b 4) (pow a 2))) (* 1/512 (/ (pow b 4) (pow a 2))))) a)) c)) (* 1/16 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* 4 a)) (* -1 (log (/ -1 c))))))) (pow a 2)))) c)) (/ (exp (* 1/4 (+ (log (* 4 a)) (* -1 (log (/ -1 c)))))) a))
(exp (* 1/4 (+ (log (* 4 a)) (* -1 (log (/ -1 c))))))
(+ (exp (* 1/4 (+ (log (* 4 a)) (* -1 (log (/ -1 c)))))) (* -1/16 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* 4 a)) (* -1 (log (/ -1 c))))))) (* a c))))
(+ (exp (* 1/4 (+ (log (* 4 a)) (* -1 (log (/ -1 c)))))) (* -1 (/ (+ (* -1 (/ (* (exp (* 1/4 (+ (log (* 4 a)) (* -1 (log (/ -1 c)))))) (+ (* -1/128 (/ (pow b 4) (pow a 2))) (* 1/512 (/ (pow b 4) (pow a 2))))) c)) (* 1/16 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* 4 a)) (* -1 (log (/ -1 c))))))) a))) c)))
(+ (exp (* 1/4 (+ (log (* 4 a)) (* -1 (log (/ -1 c)))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* 1/4 (+ (log (* 4 a)) (* -1 (log (/ -1 c)))))) (+ (* -1/2048 (/ (pow b 6) (pow a 3))) (+ (* 1/24576 (/ (pow b 6) (pow a 3))) (* 1/768 (/ (pow b 6) (pow a 3)))))) c)) (* (exp (* 1/4 (+ (log (* 4 a)) (* -1 (log (/ -1 c)))))) (+ (* -1/128 (/ (pow b 4) (pow a 2))) (* 1/512 (/ (pow b 4) (pow a 2)))))) c)) (* 1/16 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* 4 a)) (* -1 (log (/ -1 c))))))) a))) c)))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(* -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))))))
(* -1 (* c (+ (* -2 (/ a b)) (* 2 (/ b c)))))
(* -1 (* c (- (* 2 (/ a (pow b 2))) (* 2 (/ 1 c)))))
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (- (+ (* -1/4 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) (* -1/2 (/ (* b c) a))) c)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (* b (* (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))))))))) (* -1/16 (/ (* (pow b 3) c) (pow a 2)))) (+ (* -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)))))) c)) (* -1/2 (/ (* b c) a))) c)) (* (sqrt (/ c a)) (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 (* 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))))))
Outputs
(/ (+ (* -1/2 b) (* 1/2 b)) a)
(*.f64 (/.f64 b a) #s(literal 0 binary64))
(/ (+ (* -1 (/ (* a c) b)) (+ (* -1/2 b) (* 1/2 b))) a)
(/.f64 (fma.f64 (neg.f64 a) (/.f64 c b) (*.f64 b #s(literal 0 binary64))) a)
(/ (+ (* -1/2 b) (+ (* 1/2 b) (* a (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))))) a)
(/.f64 (fma.f64 b #s(literal 0 binary64) (*.f64 (neg.f64 (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 c b))) a)) a)
(/ (+ (* -1/2 b) (+ (* 1/2 b) (* a (+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))))) a)
(/.f64 (fma.f64 b #s(literal 0 binary64) (*.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b #s(literal 5 binary64))) #s(literal -2 binary64) (/.f64 (neg.f64 (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (/.f64 (neg.f64 c) b)) a)) a)
(* (pow 1 1/4) (* (/ 1 a) (sqrt b)))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) a)) (sqrt.f64 b))
(/ (+ (* -1 (* (pow 1 1/4) (* (* a c) (sqrt (/ 1 (pow b 3)))))) (* (pow 1 1/4) (sqrt b))) a)
(/.f64 (fma.f64 (neg.f64 (*.f64 c a)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64)))) (*.f64 (sqrt.f64 b) #s(literal 1 binary64))) a)
(/ (+ (* a (+ (* -1 (* (pow 1 1/4) (* (sqrt (/ 1 (pow b 3))) c))) (* (pow 1 1/4) (* (* a (+ (* -2 (/ (pow c 2) (pow b 4))) (* 1/2 (/ (pow c 2) (pow b 4))))) (sqrt b))))) (* (pow 1 1/4) (sqrt b))) a)
(/.f64 (fma.f64 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64))))) c (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b #s(literal 4 binary64))) #s(literal -3/2 binary64)) a) (sqrt.f64 b)) #s(literal 1 binary64))) a (*.f64 (sqrt.f64 b) #s(literal 1 binary64))) a)
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(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (* b (* (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))))))))) (* -1/16 (/ (* (pow b 3) c) (pow a 2)))) (+ (* -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)))))) c)) (* -1/2 (/ (* b c) a))) c)) (* (sqrt (/ c a)) (sqrt -1)))
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) c))) (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (pow.f64 (/.f64 c a) #s(literal 3 binary64))) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/8 binary64))) (-.f64 (*.f64 (/.f64 #s(literal -1/16 binary64) a) (/.f64 (*.f64 (pow.f64 b #s(literal 3 binary64)) c) a)) (*.f64 (*.f64 (*.f64 (sqrt.f64 (pow.f64 (/.f64 c a) #s(literal 3 binary64))) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/8 binary64)))) c) #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 b (/.f64 c a)))) (neg.f64 c)))
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(*.f64 (neg.f64 c) (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/4 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) #s(literal 2 binary64))))
(* -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 (neg.f64 c) (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64)))) #s(literal -1/64 binary64) (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/4 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) #s(literal 2 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 (neg.f64 c) (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64)))) #s(literal -1/64 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 7 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 6 binary64)))) #s(literal 1/512 binary64) (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/4 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) #s(literal 2 binary64))))))
(* -1 (* c (- (/ b c) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(*.f64 (neg.f64 c) (-.f64 (/.f64 b c) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) #s(literal 2 binary64))))
(* -1 (* c (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(*.f64 (neg.f64 c) (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) c))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b))) b) c) #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a 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 (neg.f64 c) (fma.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/64 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 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) #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))))))

rewrite200.0ms (2.6%)

Memory
-22.3MiB live, 329.9MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
055293
086293
1309261
22303261
08292261
Stop Event
iter limit
node limit
iter limit
Counts
19 → 578
Calls
Call 1
Inputs
(fma.f64 (/.f64 (pow.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) #s(literal 1/4 binary64)) a) (/.f64 (pow.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (/.f64 b (*.f64 #s(literal -2 binary64) a)))
(/.f64 (pow.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) #s(literal 1/4 binary64)) a)
(pow.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) #s(literal 1/4 binary64))
(fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))
#s(approx (+ (/ (sqrt (+ (* a (* -4 c)) (* b b))) (* 2 a)) (/ b (* -2 a))) #s(literal 0 binary64))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 a (/.f64 #s(literal -2 binary64) b)) c)) (*.f64 #s(literal 2 binary64) a))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 a (/.f64 #s(literal -2 binary64) b)) c))
(*.f64 (*.f64 a (/.f64 #s(literal -2 binary64) b)) c)
(*.f64 a (/.f64 #s(literal -2 binary64) b))
(*.f64 (fma.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 (/.f64 c b) b) #s(literal 2 binary64)) (neg.f64 b))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (fma.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 (/.f64 c b) b) #s(literal 2 binary64)) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (fma.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 (/.f64 c b) b) #s(literal 2 binary64)) (neg.f64 b)))
(fma.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 (/.f64 c b) b) #s(literal 2 binary64))
(-.f64 (*.f64 b b) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))
(/.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)))
(*.f64 b b)
(fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))
(sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))
(-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))
Outputs
(/.f64 (fma.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) (*.f64 #s(literal 2 binary64) a)) #s(literal 3 binary64)) (fma.f64 (/.f64 b (*.f64 #s(literal -2 binary64) a)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) (pow.f64 (*.f64 #s(literal 2 binary64) a) #s(literal 2 binary64)))) (*.f64 (fma.f64 (/.f64 b (*.f64 #s(literal -2 binary64) a)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) (pow.f64 (*.f64 #s(literal 2 binary64) a) #s(literal 2 binary64)))) (pow.f64 (/.f64 b (*.f64 #s(literal -2 binary64) a)) #s(literal 3 binary64)))) (*.f64 (fma.f64 (/.f64 b (*.f64 #s(literal -2 binary64) a)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) (pow.f64 (*.f64 #s(literal 2 binary64) a) #s(literal 2 binary64)))) (fma.f64 (/.f64 b (*.f64 #s(literal -2 binary64) a)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) (pow.f64 (*.f64 #s(literal 2 binary64) a) #s(literal 2 binary64))))))
(/.f64 (fma.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) (*.f64 #s(literal -2 binary64) a)) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) a) #s(literal -2 binary64)) a) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) a) #s(literal -2 binary64)) a) (*.f64 (*.f64 #s(literal 2 binary64) a) b))) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) a) #s(literal -2 binary64)) a) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) a) #s(literal -2 binary64)) a)))
(/.f64 (fma.f64 (*.f64 (neg.f64 (pow.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) #s(literal 1/4 binary64))) (/.f64 (pow.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) #s(literal 1/4 binary64)) a)) #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 b a))) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 (neg.f64 (pow.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) #s(literal 1/4 binary64))) (/.f64 (pow.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) #s(literal 1/4 binary64)) a)) (neg.f64 a) (*.f64 #s(literal -2 binary64) (neg.f64 (/.f64 b #s(literal -2 binary64))))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (fma.f64 (*.f64 (neg.f64 (pow.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) #s(literal 1/4 binary64))) (/.f64 (pow.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) #s(literal 1/4 binary64)) a)) (*.f64 #s(literal -2 binary64) a) (*.f64 #s(literal -2 binary64) (neg.f64 (neg.f64 b)))) (*.f64 #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) a)))
(/.f64 (fma.f64 (*.f64 (neg.f64 (pow.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) #s(literal 1/4 binary64))) (/.f64 (pow.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) #s(literal 1/4 binary64)) a)) a (*.f64 #s(literal -2 binary64) (/.f64 b #s(literal -2 binary64)))) (*.f64 #s(literal -2 binary64) a))
(/.f64 (fma.f64 (*.f64 (neg.f64 (pow.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) #s(literal 1/4 binary64))) (/.f64 (pow.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) #s(literal 1/4 binary64)) a)) (*.f64 #s(literal 2 binary64) a) (*.f64 #s(literal -2 binary64) (neg.f64 b))) (*.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) a)))
(/.f64 (fma.f64 (*.f64 (neg.f64 (pow.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) #s(literal 1/4 binary64))) (/.f64 (pow.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) #s(literal 1/4 binary64)) a)) (*.f64 #s(literal -2 binary64) a) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) a)))
(/.f64 (fma.f64 (*.f64 (neg.f64 (pow.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) #s(literal 1/4 binary64))) (/.f64 (pow.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) #s(literal -2 binary64) (*.f64 (neg.f64 a) (/.f64 b a))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (fma.f64 (*.f64 (neg.f64 (pow.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) #s(literal 1/4 binary64))) (/.f64 (pow.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (neg.f64 a) (*.f64 (neg.f64 a) (neg.f64 (/.f64 b #s(literal -2 binary64))))) (*.f64 a a))
(/.f64 (fma.f64 (*.f64 (neg.f64 (pow.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) #s(literal 1/4 binary64))) (/.f64 (pow.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) a) (*.f64 (neg.f64 a) (neg.f64 (neg.f64 b)))) (*.f64 (neg.f64 a) (*.f64 #s(literal -2 binary64) a)))
(/.f64 (fma.f64 (*.f64 (neg.f64 (pow.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) #s(literal 1/4 binary64))) (/.f64 (pow.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) a (*.f64 (neg.f64 a) (/.f64 b #s(literal -2 binary64)))) (*.f64 (neg.f64 a) a))
(/.f64 (fma.f64 (*.f64 (neg.f64 (pow.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) #s(literal 1/4 binary64))) (/.f64 (pow.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) a) (*.f64 (neg.f64 a) (neg.f64 b))) (*.f64 (neg.f64 a) (*.f64 #s(literal 2 binary64) a)))
(/.f64 (fma.f64 (*.f64 (neg.f64 (pow.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) #s(literal 1/4 binary64))) (/.f64 (pow.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) a) (*.f64 (neg.f64 a) b)) (*.f64 (neg.f64 a) (*.f64 #s(literal -2 binary64) a)))
(/.f64 (fma.f64 (*.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (neg.f64 (pow.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) #s(literal 1/4 binary64)))) #s(literal -2 binary64) (*.f64 (neg.f64 a) (/.f64 b a))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (fma.f64 (*.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (neg.f64 (pow.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) #s(literal 1/4 binary64)))) (neg.f64 a) (*.f64 (neg.f64 a) (neg.f64 (/.f64 b #s(literal -2 binary64))))) (*.f64 a a))
(/.f64 (fma.f64 (*.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (neg.f64 (pow.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) #s(literal 1/4 binary64)))) (*.f64 #s(literal -2 binary64) a) (*.f64 (neg.f64 a) (neg.f64 (neg.f64 b)))) (*.f64 (neg.f64 a) (*.f64 #s(literal -2 binary64) a)))
(/.f64 (fma.f64 (*.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (neg.f64 (pow.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) #s(literal 1/4 binary64)))) a (*.f64 (neg.f64 a) (/.f64 b #s(literal -2 binary64)))) (*.f64 (neg.f64 a) a))
(/.f64 (fma.f64 (*.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (neg.f64 (pow.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) #s(literal 1/4 binary64)))) (*.f64 #s(literal 2 binary64) a) (*.f64 (neg.f64 a) (neg.f64 b))) (*.f64 (neg.f64 a) (*.f64 #s(literal 2 binary64) a)))
(/.f64 (fma.f64 (*.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (neg.f64 (pow.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) #s(literal 1/4 binary64)))) (*.f64 #s(literal -2 binary64) a) (*.f64 (neg.f64 a) b)) (*.f64 (neg.f64 a) (*.f64 #s(literal -2 binary64) a)))
(/.f64 (fma.f64 (*.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) #s(literal 1/4 binary64)) a) (neg.f64 (pow.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) #s(literal 1/4 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 b a))) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) #s(literal 1/4 binary64)) a) (neg.f64 (pow.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) #s(literal 1/4 binary64)))) (neg.f64 a) (*.f64 #s(literal -2 binary64) (neg.f64 (/.f64 b #s(literal -2 binary64))))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (fma.f64 (*.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) #s(literal 1/4 binary64)) a) (neg.f64 (pow.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) #s(literal 1/4 binary64)))) (*.f64 #s(literal -2 binary64) a) (*.f64 #s(literal -2 binary64) (neg.f64 (neg.f64 b)))) (*.f64 #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) a)))
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(+.f64 (cosh.f64 (log.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))) (sinh.f64 (log.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) #s(literal 3/2 binary64)))) (neg.f64 (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) (neg.f64 b) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))))
(/.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) #s(literal 3/2 binary64))) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) (neg.f64 b) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))))
(/.f64 (neg.f64 (-.f64 (fma.f64 (*.f64 #s(literal 4 binary64) a) c (*.f64 b b)) (*.f64 b b))) (neg.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) (neg.f64 b))))
(/.f64 (-.f64 (fma.f64 (*.f64 #s(literal 4 binary64) a) c (*.f64 b b)) (*.f64 b b)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) (neg.f64 b)))
(-.f64 (/.f64 (*.f64 b b) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) (neg.f64 b))) (/.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) (neg.f64 b))))
(-.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) (neg.f64 b) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))) (/.f64 (pow.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) #s(literal 3/2 binary64)) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) (neg.f64 b) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))))
(-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))

eval200.0ms (2.6%)

Memory
27.2MiB live, 260.6MiB allocated
Compiler

Compiled 42 255 to 4 025 computations (90.5% saved)

prune100.0ms (1.3%)

Memory
2.3MiB live, 102.5MiB allocated
Pruning

24 alts after pruning (17 fresh and 7 done)

PrunedKeptTotal
New9406946
Fresh41115
Picked235
Done044
Total94624970
Accuracy
91.4%
Counts
970 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
53.4%
(fma.f64 (/.f64 (pow.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) #s(literal 1/4 binary64)) a) (/.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) #s(literal 2 binary64)) (/.f64 b (*.f64 #s(literal -2 binary64) a)))
14.5%
(fma.f64 (/.f64 #s(approx (pow (+ (* a (* -4 c)) (* b b)) 1/4) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (-.f64 (log.f64 (*.f64 #s(literal -4 binary64) a)) (*.f64 (log.f64 c) #s(literal -1 binary64))))) a) (/.f64 (pow.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (/.f64 b (*.f64 #s(literal -2 binary64) a)))
37.7%
(/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) a) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) (*.f64 (*.f64 #s(literal 2 binary64) a) b)) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) a) a) #s(literal -2 binary64)))
29.1%
(/.f64 (/.f64 (-.f64 (fma.f64 (*.f64 #s(literal 4 binary64) a) c (*.f64 b b)) (*.f64 b b)) (*.f64 #s(literal 2 binary64) a)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))))
26.3%
(/.f64 (+.f64 (neg.f64 b) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))))) (*.f64 #s(literal 2 binary64) a))
54.6%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a))
36.0%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a))
22.4%
(/.f64 (+.f64 (neg.f64 b) (exp.f64 (log.f64 (sqrt.f64 (fma.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))) (cosh.f64 (log.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))))) (*.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))) (sinh.f64 (log.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))))))))))) (*.f64 #s(literal 2 binary64) a))
51.0%
(/.f64 (+.f64 (neg.f64 b) (exp.f64 (log.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))) (*.f64 #s(literal 2 binary64) a))
26.5%
(/.f64 (+.f64 (neg.f64 b) (exp.f64 (log.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))))) (*.f64 #s(literal 2 binary64) a))
38.9%
(/.f64 #s(approx (- (* b b) (+ (* (* c -4) a) (* b b))) (*.f64 (*.f64 c a) #s(literal 4 binary64))) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)))
25.6%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (*.f64 (*.f64 c a) #s(literal -2 binary64)) b)) (*.f64 #s(literal 2 binary64) a))
35.2%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (fma.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 (/.f64 c b) b) #s(literal 2 binary64)) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a))
28.2%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 (/.f64 #s(literal -2 binary64) b) c) a)) (*.f64 #s(literal 2 binary64) a))
24.3%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 a (/.f64 #s(literal -2 binary64) b)) c)) (*.f64 #s(literal 2 binary64) a))
8.3%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (+ (* (/ (* a (/ c b)) b) -2) 2) (neg b)) (*.f64 (*.f64 a (/.f64 c b)) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) a))
8.2%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (+ (* (* -2 a) (/ (/ c b) b)) 2) (neg b)) (*.f64 (/.f64 (*.f64 c a) b) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) a))
36.0%
(+.f64 (/.f64 (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 c a)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 b (*.f64 #s(literal -2 binary64) a)))
5.5%
(+.f64 #s(approx (/ (sqrt (+ (* a (* -4 c)) (* b b))) (* 2 a)) (*.f64 (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) a)) b)) (/.f64 b (*.f64 #s(literal -2 binary64) a)))
32.1%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))
35.4%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a))
35.2%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (fma.f64 (/.f64 (neg.f64 c) (*.f64 b b)) b (/.f64 b a))))
28.3%
#s(approx (+ (/ (sqrt (+ (* a (* -4 c)) (* b b))) (* 2 a)) (/ b (* -2 a))) (/.f64 (fma.f64 (neg.f64 a) (/.f64 c b) #s(literal 0 binary64)) a))
8.6%
#s(approx (+ (/ (sqrt (+ (* a (* -4 c)) (* b b))) (* 2 a)) (/ b (* -2 a))) #s(literal 0 binary64))
Compiler

Compiled 1 973 to 777 computations (60.6% saved)

regimes85.0ms (1.1%)

Memory
-20.4MiB live, 73.0MiB allocated
Counts
42 → 3
Calls
Call 1
Inputs
#s(approx (+ (/ (sqrt (+ (* a (* -4 c)) (* b b))) (* 2 a)) (/ b (* -2 a))) #s(literal 0 binary64))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))
#s(approx (+ (/ (sqrt (+ (* a (* -4 c)) (* b b))) (* 2 a)) (/ b (* -2 a))) (/.f64 (fma.f64 (neg.f64 a) (/.f64 c b) #s(literal 0 binary64)) a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (fma.f64 (/.f64 (neg.f64 c) (*.f64 b b)) b (/.f64 b a))))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (+ (* (* -2 a) (/ (/ c b) b)) 2) (neg b)) (*.f64 (/.f64 (*.f64 c a) b) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (+ (* (/ (* a (/ c b)) b) -2) 2) (neg b)) (*.f64 (*.f64 a (/.f64 c b)) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 a (/.f64 #s(literal -2 binary64) b)) c)) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 (/.f64 #s(literal -2 binary64) b) c) a)) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) c) b)) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (*.f64 (*.f64 c a) #s(literal -2 binary64)) b)) (*.f64 #s(literal 2 binary64) a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a))
(/.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 (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 c a)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 b (*.f64 #s(literal -2 binary64) a)))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (fma.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 (/.f64 c b) b) #s(literal 2 binary64)) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -2 binary64) #s(literal 2 binary64)) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a))
(+.f64 #s(approx (/ (sqrt (+ (* a (* -4 c)) (* b b))) (* 2 a)) (*.f64 (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) a)) b)) (/.f64 b (*.f64 #s(literal -2 binary64) a)))
(+.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (*.f64 #s(literal 2 binary64) a)) (/.f64 b (*.f64 #s(literal -2 binary64) a)))
(/.f64 #s(approx (- (* b b) (+ (* (* c -4) a) (* b b))) (*.f64 (*.f64 c a) #s(literal 4 binary64))) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(approx (* (+ (* (/ (* a (/ c b)) b) -4) 1) b) (*.f64 (fma.f64 #s(literal -4 binary64) (/.f64 c b) (/.f64 b a)) a)) b)))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (*.f64 #s(literal -2 binary64) a) (*.f64 (*.f64 #s(literal 2 binary64) a) b)) (*.f64 (*.f64 #s(literal 2 binary64) a) (*.f64 #s(literal -2 binary64) a)))
(/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) a) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) (*.f64 (*.f64 #s(literal 2 binary64) a) b)) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) a) a) #s(literal -2 binary64)))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -4 binary64) #s(literal 1 binary64)) b) b)))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (-.f64 (*.f64 b b) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)))
(/.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)))
(/.f64 (/.f64 (-.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) (*.f64 b b)) (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (/.f64 (-.f64 (fma.f64 (*.f64 #s(literal 4 binary64) a) c (*.f64 b b)) (*.f64 b b)) (*.f64 #s(literal 2 binary64) a)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))))
(fma.f64 (/.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) a) (*.f64 (*.f64 #s(literal 2 binary64) a) #s(literal -2 binary64))) (/.f64 #s(literal -2 binary64) a) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 a b) (*.f64 a (*.f64 #s(literal -2 binary64) a)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (-.f64 (*.f64 (neg.f64 c) (/.f64 a (pow.f64 b #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) b)) c))
(fma.f64 (/.f64 (pow.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) #s(literal 1/4 binary64)) a) (/.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) #s(literal 2 binary64)) (/.f64 b (*.f64 #s(literal -2 binary64) a)))
(/.f64 (+.f64 (neg.f64 b) (exp.f64 (log.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (+.f64 (neg.f64 b) (exp.f64 (log.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))) (*.f64 #s(literal 2 binary64) a))
(fma.f64 (/.f64 (pow.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) #s(literal 1/4 binary64)) a) (/.f64 (pow.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (/.f64 b (*.f64 #s(literal -2 binary64) a)))
(/.f64 (-.f64 (pow.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (*.f64 (fma.f64 b b (+.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) (*.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))) (*.f64 #s(literal 2 binary64) a)))
(/.f64 (+.f64 (neg.f64 b) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (+.f64 (neg.f64 b) (/.f64 (hypot.f64 (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) a) c) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (sqrt.f64 (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (/.f64 (-.f64 (pow.f64 b #s(literal 12 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) a) c) #s(literal 6 binary64))) (*.f64 (+.f64 (pow.f64 (*.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)))) #s(literal 2 binary64)) (pow.f64 b #s(literal 8 binary64))) (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)))))) (*.f64 #s(literal 2 binary64) a))
(fma.f64 (/.f64 #s(approx (pow (+ (* a (* -4 c)) (* b b)) 1/4) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (-.f64 (log.f64 (*.f64 #s(literal -4 binary64) a)) (*.f64 (log.f64 c) #s(literal -1 binary64))))) a) (/.f64 (pow.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (/.f64 b (*.f64 #s(literal -2 binary64) a)))
(/.f64 (+.f64 (neg.f64 b) (exp.f64 (log.f64 (sqrt.f64 (fma.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))) (cosh.f64 (log.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))))) (*.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))) (sinh.f64 (log.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))))))))))) (*.f64 #s(literal 2 binary64) a))
Outputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (fma.f64 (/.f64 (neg.f64 c) (*.f64 b b)) b (/.f64 b a))))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))
Calls

4 calls:

31.0ms
c
30.0ms
(/.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))
11.0ms
a
11.0ms
b
Results
AccuracySegmentsBranch
73.4%5(/.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))
54.6%1a
87.2%3b
54.6%1c
Compiler

Compiled 20 to 23 computations (-15% saved)

regimes5.0ms (0.1%)

Memory
8.5MiB live, 8.5MiB allocated
Counts
14 → 3
Calls
Call 1
Inputs
#s(approx (+ (/ (sqrt (+ (* a (* -4 c)) (* b b))) (* 2 a)) (/ b (* -2 a))) #s(literal 0 binary64))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))
#s(approx (+ (/ (sqrt (+ (* a (* -4 c)) (* b b))) (* 2 a)) (/ b (* -2 a))) (/.f64 (fma.f64 (neg.f64 a) (/.f64 c b) #s(literal 0 binary64)) a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (fma.f64 (/.f64 (neg.f64 c) (*.f64 b b)) b (/.f64 b a))))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (+ (* (* -2 a) (/ (/ c b) b)) 2) (neg b)) (*.f64 (/.f64 (*.f64 c a) b) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (+ (* (/ (* a (/ c b)) b) -2) 2) (neg b)) (*.f64 (*.f64 a (/.f64 c b)) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 a (/.f64 #s(literal -2 binary64) b)) c)) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 (/.f64 #s(literal -2 binary64) b) c) a)) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) c) b)) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (*.f64 (*.f64 c a) #s(literal -2 binary64)) b)) (*.f64 #s(literal 2 binary64) a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a))
Outputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (fma.f64 (/.f64 (neg.f64 c) (*.f64 b b)) b (/.f64 b a))))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))
Calls

1 calls:

4.0ms
b
Results
AccuracySegmentsBranch
84.7%3b
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes8.0ms (0.1%)

Memory
11.3MiB live, 11.3MiB allocated
Counts
13 → 2
Calls
Call 1
Inputs
#s(approx (+ (/ (sqrt (+ (* a (* -4 c)) (* b b))) (* 2 a)) (/ b (* -2 a))) #s(literal 0 binary64))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))
#s(approx (+ (/ (sqrt (+ (* a (* -4 c)) (* b b))) (* 2 a)) (/ b (* -2 a))) (/.f64 (fma.f64 (neg.f64 a) (/.f64 c b) #s(literal 0 binary64)) a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (fma.f64 (/.f64 (neg.f64 c) (*.f64 b b)) b (/.f64 b a))))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (+ (* (* -2 a) (/ (/ c b) b)) 2) (neg b)) (*.f64 (/.f64 (*.f64 c a) b) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (+ (* (/ (* a (/ c b)) b) -2) 2) (neg b)) (*.f64 (*.f64 a (/.f64 c b)) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 a (/.f64 #s(literal -2 binary64) b)) c)) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 (/.f64 #s(literal -2 binary64) b) c) a)) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) c) b)) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (*.f64 (*.f64 c a) #s(literal -2 binary64)) b)) (*.f64 #s(literal 2 binary64) a))
Outputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (fma.f64 (/.f64 (neg.f64 c) (*.f64 b b)) b (/.f64 b a))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))
Calls

2 calls:

4.0ms
b
3.0ms
(/.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))
Results
AccuracySegmentsBranch
46.9%3(/.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))
65.3%2b
Compiler

Compiled 18 to 17 computations (5.6% saved)

regimes2.0ms (0%)

Memory
4.0MiB live, 4.0MiB allocated
Counts
5 → 2
Calls
Call 1
Inputs
#s(approx (+ (/ (sqrt (+ (* a (* -4 c)) (* b b))) (* 2 a)) (/ b (* -2 a))) #s(literal 0 binary64))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))
#s(approx (+ (/ (sqrt (+ (* a (* -4 c)) (* b b))) (* 2 a)) (/ b (* -2 a))) (/.f64 (fma.f64 (neg.f64 a) (/.f64 c b) #s(literal 0 binary64)) a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a))
Outputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))
Calls

1 calls:

2.0ms
b
Results
AccuracySegmentsBranch
65.2%2b
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes29.0ms (0.4%)

Memory
-39.7MiB live, 10.3MiB allocated
Counts
2 → 2
Calls
Call 1
Inputs
#s(approx (+ (/ (sqrt (+ (* a (* -4 c)) (* b b))) (* 2 a)) (/ b (* -2 a))) #s(literal 0 binary64))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a))
Outputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a))
#s(approx (+ (/ (sqrt (+ (* a (* -4 c)) (* b b))) (* 2 a)) (/ b (* -2 a))) #s(literal 0 binary64))
Calls

4 calls:

1.0ms
c
1.0ms
a
1.0ms
b
1.0ms
(/.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))
Results
AccuracySegmentsBranch
35.4%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))
35.4%1a
35.4%1c
41.4%2b
Compiler

Compiled 20 to 23 computations (-15% saved)

regimes5.0ms (0.1%)

Memory
9.5MiB live, 9.5MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (+ (/ (sqrt (+ (* a (* -4 c)) (* b b))) (* 2 a)) (/ b (* -2 a))) #s(literal 0 binary64))
Outputs
#s(approx (+ (/ (sqrt (+ (* a (* -4 c)) (* b b))) (* 2 a)) (/ b (* -2 a))) #s(literal 0 binary64))
Calls

4 calls:

1.0ms
b
1.0ms
c
1.0ms
a
1.0ms
(/.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))
Results
AccuracySegmentsBranch
8.6%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))
8.6%1a
8.6%1c
8.6%1b
Compiler

Compiled 20 to 23 computations (-15% saved)

bsearch58.0ms (0.8%)

Memory
0.1MiB live, 44.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
20.0ms
504215.9407466181
8375226.972985811
16.0ms
-1.184971354827775e+78
-1.471891528439604e+75
Samples
14.0ms188×0valid
5.0ms29×2valid
3.0ms21×1valid
2.0ms28×0invalid
0.0ms3valid
Compiler

Compiled 654 to 532 computations (18.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-mult: 6.0ms (33.3% of total)
adjust: 2.0ms (11.1% of total)
ival-div: 2.0ms (11.1% of total)
ival-sub: 2.0ms (11.1% of total)
ival-sqrt: 2.0ms (11.1% of total)
ival-add: 2.0ms (11.1% of total)
ival-neg: 1.0ms (5.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch86.0ms (1.1%)

Memory
11.4MiB live, 55.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
66.0ms
8.830031139400129e-13
75.43875588615336
15.0ms
-1.1914519869921526e-18
-6.460999230995466e-20
Samples
41.0ms41×1valid
14.0ms182×0valid
7.0ms39×2valid
4.0ms52×0invalid
2.0ms10×3valid
Compiler

Compiled 841 to 677 computations (19.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
ival-mult: 8.0ms (33.5% of total)
adjust: 3.0ms (12.6% of total)
ival-div: 3.0ms (12.6% of total)
ival-sqrt: 3.0ms (12.6% of total)
ival-sub: 2.0ms (8.4% of total)
ival-add: 2.0ms (8.4% of total)
ival-neg: 2.0ms (8.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch29.0ms (0.4%)

Memory
31.3MiB live, 31.3MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
25.0ms
-3.2352367779102595e-302
6.987167265906929e-305
Samples
12.0ms160×0valid
5.0ms67×0invalid
Compiler

Compiled 540 to 420 computations (22.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-mult: 5.0ms (42.3% of total)
ival-div: 1.0ms (8.5% of total)
ival-add: 1.0ms (8.5% of total)
ival-sub: 1.0ms (8.5% of total)
ival-sqrt: 1.0ms (8.5% of total)
ival-neg: 1.0ms (8.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch521.0ms (6.7%)

Memory
-166.2MiB live, 28.9MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
518.0ms
6.987167265906929e-305
1.9318281254377373e-298
Samples
506.0ms144×0valid
5.0ms57×0invalid
Compiler

Compiled 416 to 344 computations (17.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 505.0ms
ival-neg: 496.0ms (98.2% of total)
ival-mult: 5.0ms (1% of total)
ival-div: 1.0ms (0.2% of total)
ival-add: 1.0ms (0.2% of total)
ival-sub: 1.0ms (0.2% of total)
ival-sqrt: 1.0ms (0.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch55.0ms (0.7%)

Memory
-53.7MiB live, 36.3MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
51.0ms
-4.301573711223597e-276
-3.2352367779102595e-302
Samples
28.0ms88×0invalid
14.0ms176×0valid
Compiler

Compiled 504 to 427 computations (15.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 35.0ms
ival-add: 23.0ms (65.4% of total)
ival-mult: 6.0ms (17.1% of total)
ival-div: 2.0ms (5.7% of total)
ival-sqrt: 2.0ms (5.7% of total)
ival-sub: 1.0ms (2.8% of total)
ival-neg: 1.0ms (2.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

simplify63.0ms (0.8%)

Memory
4.3MiB live, 48.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
071333
1120329
2218329
3358329
4524329
5659329
6889329
72617329
83859329
Stop Event
node limit
Calls
Call 1
Inputs
(if (<=.f64 b #s(literal -339999999999999996717189197499976353809481339773514215719040198793026460450816 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (fma.f64 (/.f64 (neg.f64 c) (*.f64 b b)) b (/.f64 b a)))) (if (<=.f64 b #s(literal 4700000 binary64)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))))
(if (<=.f64 b #s(literal -6646139978924579/83076749736557242056487941267521536 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (fma.f64 (/.f64 (neg.f64 c) (*.f64 b b)) b (/.f64 b a)))) (if (<=.f64 b #s(literal 4456584141427369/4951760157141521099596496896 binary64)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))))
(if (<=.f64 b #s(literal -20240225330731/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (fma.f64 (/.f64 (neg.f64 c) (*.f64 b b)) b (/.f64 b a)))) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)))
(if (<=.f64 b #s(literal 3459022883669859/49414612623855131433714684257548170666395666446323759364477870612165610246092613987295015552108672972457782681717971658054152523775828485563235693344906862773807964911271084317496803647971976645810490155877135026504396358257981615873560389562783094809768080203212590222737650052546509407272052614415528872877858335227904 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)))
(if (<=.f64 b #s(literal -3184926204271913/96512915280967053581473992690523770832804036027976092508745841039385957511899636693935577250212251899331606800230413394637016647999665010865694713564271216355093681467326336557610944624945266886348613585697529348641399137222620343503047635864810732050328281646899590278784472758879901186078227762530329829839567060992 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a)) #s(approx (+ (/ (sqrt (+ (* a (* -4 c)) (* b b))) (* 2 a)) (/ b (* -2 a))) #s(literal 0 binary64)))
#s(approx (+ (/ (sqrt (+ (* a (* -4 c)) (* b b))) (* 2 a)) (/ b (* -2 a))) #s(literal 0 binary64))
Outputs
(if (<=.f64 b #s(literal -339999999999999996717189197499976353809481339773514215719040198793026460450816 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (fma.f64 (/.f64 (neg.f64 c) (*.f64 b b)) b (/.f64 b a)))) (if (<=.f64 b #s(literal 4700000 binary64)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))))
(if (<=.f64 b #s(literal -6646139978924579/83076749736557242056487941267521536 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (fma.f64 (/.f64 (neg.f64 c) (*.f64 b b)) b (/.f64 b a)))) (if (<=.f64 b #s(literal 4456584141427369/4951760157141521099596496896 binary64)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))))
(if (<=.f64 b #s(literal -20240225330731/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (fma.f64 (/.f64 (neg.f64 c) (*.f64 b b)) b (/.f64 b a)))) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)))
(if (<=.f64 b #s(literal 3459022883669859/49414612623855131433714684257548170666395666446323759364477870612165610246092613987295015552108672972457782681717971658054152523775828485563235693344906862773807964911271084317496803647971976645810490155877135026504396358257981615873560389562783094809768080203212590222737650052546509407272052614415528872877858335227904 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)))
(if (<=.f64 b #s(literal -3184926204271913/96512915280967053581473992690523770832804036027976092508745841039385957511899636693935577250212251899331606800230413394637016647999665010865694713564271216355093681467326336557610944624945266886348613585697529348641399137222620343503047635864810732050328281646899590278784472758879901186078227762530329829839567060992 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a)) #s(approx (+ (/ (sqrt (+ (* a (* -4 c)) (* b b))) (* 2 a)) (/ b (* -2 a))) #s(literal 0 binary64)))
#s(approx (+ (/ (sqrt (+ (* a (* -4 c)) (* b b))) (* 2 a)) (/ b (* -2 a))) #s(literal 0 binary64))

soundness601.0ms (7.8%)

Memory
24.4MiB live, 355.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06654158
123744081
088773888
05452842
119162807
279102807
080902667
042282
066282
1217273
21448273
08680273
01451
02351
17351
250850
3617649
0875145
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 577 to 252 computations (56.3% saved)

preprocess51.0ms (0.7%)

Memory
-23.2MiB live, 66.9MiB allocated
Compiler

Compiled 700 to 174 computations (75.1% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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